257628800 has 192 divisors, whose sum is σ = 749014560. Its totient is φ = 86323200.

The previous prime is 257628757. The next prime is 257628821. The reversal of 257628800 is 8826752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457319 + ... + 457881.

Almost surely, 2^257628800 is an apocalyptic number.

257628800 is a gapful number since it is divisible by the number (20) 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 257628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374507280).

257628800 is an abundant number, since it is smaller than the sum of its proper divisors (491385760).

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

257628800 is a wasteful number, since it uses less digits than its factorization.

257628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 257628800 is about 16050.8192937308. The cubic root of 257628800 is about 636.3042200555.

The spelling of 257628800 in words is "two hundred fifty-seven million, six hundred twenty-eight thousand, eight hundred".