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480521214 = 23353379443
BaseRepresentation
bin11100101001000…
…010101111111110
31020111012000012000
4130221002233332
51441003134324
6115403123130
714623235325
oct3451025776
91214160160
10480521214
11227272778
12114b134a6
1378724ca4
1447b650bc
152c2bb9c9
hex1ca42bfe

480521214 has 64 divisors (see below), whose sum is σ = 1093305600. Its totient is φ = 156383136.

The previous prime is 480521149. The next prime is 480521227. The reversal of 480521214 is 412125084.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084477 + ... + 1084919.

It is an arithmetic number, because the mean of its divisors is an integer number (17082900).

Almost surely, 2480521214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480521214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546652800).

480521214 is an abundant number, since it is smaller than the sum of its proper divisors (612784386).

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

480521214 is a wasteful number, since it uses less digits than its factorization.

480521214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 480521214 is about 21920.7941005795. The cubic root of 480521214 is about 783.2568262485.

Adding to 480521214 its reverse (412125084), we get a palindrome (892646298).

The spelling of 480521214 in words is "four hundred eighty million, five hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 379 443 477 758 886 954 1137 1329 1431 2274 2658 2862 3411 3987 6822 7974 10233 11961 20087 20466 23479 23922 40174 46958 60261 70437 120522 140874 167897 180783 211311 335794 361566 422622 503691 542349 633933 1007382 1084698 1267866 1511073 3022146 4533219 8898541 9066438 17797082 26695623 53391246 80086869 160173738 240260607 480521214