257662368 has 72 divisors (see below), whose sum is σ = 750633156. Its totient is φ = 83788800.

The previous prime is 257662367. The next prime is 257662373. The reversal of 257662368 is 863266752.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 243734544 + 13927824 = 15612^2 + 3732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×257662368³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (257662367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898 + ... + 22718.

Almost surely, 2^257662368 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 257662368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375316578).

257662368 is an abundant number, since it is smaller than the sum of its proper divisors (492970788).

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

257662368 is a wasteful number, since it uses less digits than its factorization.

257662368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21878 (or 21867 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 257662368 is about 16051.8649383802. The cubic root of 257662368 is about 636.3318548185.

The spelling of 257662368 in words is "two hundred fifty-seven million, six hundred sixty-two thousand, three hundred sixty-eight".