257875488 has 144 divisors (see below), whose sum is σ = 819314496. Its totient is φ = 79315200.

The previous prime is 257875477. The next prime is 257875507. The reversal of 257875488 is 884578752.

257875488 is a `hidden beast` number, since 25 + 78 + 7 + 548 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×257875488² = 132999534622476288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99813 + ... + 102363.

It is an arithmetic number, because the mean of its divisors is an integer number (5689684).

Almost surely, 2^257875488 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 257875488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409657248).

257875488 is an abundant number, since it is smaller than the sum of its proper divisors (561439008).

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

257875488 is a wasteful number, since it uses less digits than its factorization.

257875488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2569 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 54.

The square root of 257875488 is about 16058.5020472023. The cubic root of 257875488 is about 636.5072492992.

The spelling of 257875488 in words is "two hundred fifty-seven million, eight hundred seventy-five thousand, four hundred eighty-eight".