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404900412 = 2237191072371
BaseRepresentation
bin11000001000100…
…100101000111100
31001012220001221120
4120020210220330
51312123303122
6104102230540
713014411450
oct3010445074
91035801846
10404900412
11198612744
12b3725450
1365b68c57
143babc660
152583075c
hex18224a3c

404900412 has 96 divisors (see below), whose sum is σ = 1147668480. Its totient is φ = 108527040.

The previous prime is 404900411. The next prime is 404900423. The reversal of 404900412 is 214009404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404900411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169587 + ... + 171957.

It is an arithmetic number, because the mean of its divisors is an integer number (11954880).

Almost surely, 2404900412 is an apocalyptic number.

404900412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404900412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573834240).

404900412 is an abundant number, since it is smaller than the sum of its proper divisors (742768068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404900412 is a wasteful number, since it uses less digits than its factorization.

404900412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 404900412 is about 20122.1373616224. The cubic root of 404900412 is about 739.8029740863.

Adding to 404900412 its reverse (214009404), we get a palindrome (618909816).

The spelling of 404900412 in words is "four hundred four million, nine hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 107 114 133 214 228 266 321 399 428 532 642 749 798 1284 1498 1596 2033 2247 2371 2996 4066 4494 4742 6099 7113 8132 8988 9484 12198 14226 14231 16597 24396 28452 28462 33194 42693 45049 49791 56924 66388 85386 90098 99582 135147 170772 180196 199164 253697 270294 315343 507394 540588 630686 761091 946029 1014788 1261372 1522182 1775879 1892058 3044364 3551758 3784116 4820243 5327637 7103516 9640486 10655274 14460729 19280972 21310548 28921458 33741701 57842916 67483402 101225103 134966804 202450206 404900412