257364468 has 18 divisors (see below), whose sum is σ = 650560274. Its totient is φ = 85788144.

The previous prime is 257364467. The next prime is 257364469. The reversal of 257364468 is 864463752.

257364468 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257364467) and next prime (257364469).

It can be written as a sum of positive squares in only one way, i.e., 180311184 + 77053284 = 13428^2 + 8778^2 .

It is a tau number, because it is divible by the number of its divisors (18).

257364468 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257364467) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3574471 + ... + 3574542.

Almost surely, 2^257364468 is an apocalyptic number.

It is an amenable number.

257364468 is an abundant number, since it is smaller than the sum of its proper divisors (393195806).

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

257364468 is a wasteful number, since it uses less digits than its factorization.

257364468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7149023 (or 7149018 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 257364468 is about 16042.5829591123. The cubic root of 257364468 is about 636.0865255485.

The spelling of 257364468 in words is "two hundred fifty-seven million, three hundred sixty-four thousand, four hundred sixty-eight".