257395320 has 448 divisors, whose sum is σ = 1079709120. Its totient is φ = 53747712.

The previous prime is 257395319. The next prime is 257395331. The reversal of 257395320 is 23593752.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2653512 + ... + 2653608.

It is an arithmetic number, because the mean of its divisors is an integer number (2410065).

Almost surely, 2^257395320 is an apocalyptic number.

257395320 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 257395320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539854560).

257395320 is an abundant number, since it is smaller than the sum of its proper divisors (822313800).

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

257395320 is a wasteful number, since it uses less digits than its factorization.

257395320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 257395320 is about 16043.5444961517. The cubic root of 257395320 is about 636.1119418482. Note that the first 3 decimals are identical.

The spelling of 257395320 in words is "two hundred fifty-seven million, three hundred ninety-five thousand, three hundred twenty".