257474568 has 128 divisors (see below), whose sum is σ = 716284800. Its totient is φ = 76640256.

The previous prime is 257474563. The next prime is 257474573. The reversal of 257474568 is 865474752.

It is an interprime number because it is at equal distance from previous prime (257474563) and next prime (257474573).

It is not an unprimeable number, because it can be changed into a prime (257474563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2278480 + ... + 2278592.

It is an arithmetic number, because the mean of its divisors is an integer number (5595975).

Almost surely, 2^257474568 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 257474568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358142400).

257474568 is an abundant number, since it is smaller than the sum of its proper divisors (458810232).

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

257474568 is a wasteful number, since it uses less digits than its factorization.

257474568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 48.

The square root of 257474568 is about 16046.0140845009. The cubic root of 257474568 is about 636.1772181276.

It can be divided in two parts, 257 and 474568, that added together give a triangular number (474825 = T₉₇₄).

The spelling of 257474568 in words is "two hundred fifty-seven million, four hundred seventy-four thousand, five hundred sixty-eight".