257304960 has 384 divisors, whose sum is σ = 1008184320. Its totient is φ = 59904000.

The previous prime is 257304953. The next prime is 257304977. The reversal of 257304960 is 69403752.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1964095 + ... + 1964225.

It is an arithmetic number, because the mean of its divisors is an integer number (2625480).

Almost surely, 2^257304960 is an apocalyptic number.

257304960 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 257304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504092160).

257304960 is an abundant number, since it is smaller than the sum of its proper divisors (750879360).

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

257304960 is a wasteful number, since it uses less digits than its factorization.

257304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 257304960 is about 16040.7281630230. The cubic root of 257304960 is about 636.0374963060.

The spelling of 257304960 in words is "two hundred fifty-seven million, three hundred four thousand, nine hundred sixty".