257013456 has 160 divisors (see below), whose sum is σ = 807567360. Its totient is φ = 68802048.

The previous prime is 257013439. The next prime is 257013469. The reversal of 257013456 is 654310752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810610 + ... + 810926.

It is an arithmetic number, because the mean of its divisors is an integer number (5047296).

Almost surely, 2^257013456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257013456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403783680).

257013456 is an abundant number, since it is smaller than the sum of its proper divisors (550553904).

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

257013456 is a wasteful number, since it uses less digits than its factorization.

257013456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 257013456 is about 16031.6392174974. The cubic root of 257013456 is about 635.7972139380.

The spelling of 257013456 in words is "two hundred fifty-seven million, thirteen thousand, four hundred fifty-six".