257564468 has 24 divisors (see below), whose sum is σ = 515878272. Its totient is φ = 110224224.

The previous prime is 257564459. The next prime is 257564473. The reversal of 257564468 is 864465752.

It is a super-3 number, since 3×257564468³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14030 + ... + 26682.

It is an arithmetic number, because the mean of its divisors is an integer number (21494928).

Almost surely, 2^257564468 is an apocalyptic number.

257564468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257564468 is an abundant number, since it is smaller than the sum of its proper divisors (258313804).

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

257564468 is a wasteful number, since it uses less digits than its factorization.

257564468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13391 (or 13389 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 47.

The square root of 257564468 is about 16048.8151587586. The cubic root of 257564468 is about 636.2512522057.

The spelling of 257564468 in words is "two hundred fifty-seven million, five hundred sixty-four thousand, four hundred sixty-eight".