Search a number
-
+
400940280 = 233551319167
BaseRepresentation
bin10111111001011…
…101110011111000
31000221102212200000
4113321131303320
51310120042110
6103441313000
712635636046
oct2771356370
91027385600
10400940280
11196358404
12b2335760
13650b0590
143b36b396
15252ec1c0
hex17e5dcf8

400940280 has 384 divisors, whose sum is σ = 1541030400. Its totient is φ = 92938752.

The previous prime is 400940263. The next prime is 400940327. The reversal of 400940280 is 82049004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2400757 + ... + 2400923.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100).

Almost surely, 2400940280 is an apocalyptic number.

400940280 is a gapful number since it is divisible by the number (40) 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 400940280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770515200).

400940280 is an abundant number, since it is smaller than the sum of its proper divisors (1140090120).

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

400940280 is a wasteful number, since it uses less digits than its factorization.

400940280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 400940280 is about 20023.4932017368. The cubic root of 400940280 is about 737.3831847923.

Adding to 400940280 its reverse (82049004), we get a palindrome (482989284).

The spelling of 400940280 in words is "four hundred million, nine hundred forty thousand, two hundred eighty".