257604928 has 56 divisors (see below), whose sum is σ = 586427072. Its totient is φ = 109983744.

The previous prime is 257604923. The next prime is 257604929. The reversal of 257604928 is 829406752.

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257604923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136600 + ... + 138472.

It is an arithmetic number, because the mean of its divisors is an integer number (10471912).

Almost surely, 2^257604928 is an apocalyptic number.

257604928 is a gapful number since it is divisible by the number (28) 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 257604928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293213536).

257604928 is an abundant number, since it is smaller than the sum of its proper divisors (328822144).

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

257604928 is a wasteful number, since it uses less digits than its factorization.

257604928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 257604928 is about 16050.0756384511. The cubic root of 257604928 is about 636.2845660371.

The spelling of 257604928 in words is "two hundred fifty-seven million, six hundred four thousand, nine hundred twenty-eight".