257226912 has 36 divisors (see below), whose sum is σ = 731489850. Its totient is φ = 85742208.

The previous prime is 257226899. The next prime is 257226913. The reversal of 257226912 is 219622752.

It is a happy number.

257226912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 255872016 + 1354896 = 15996^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (257226913) 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, 446287 + ... + 446862.

Almost surely, 2^257226912 is an apocalyptic number.

It is an amenable number.

257226912 is an abundant number, since it is smaller than the sum of its proper divisors (474262938).

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

257226912 is a wasteful number, since it uses less digits than its factorization.

257226912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893165 (or 893154 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 257226912 is about 16038.2951712456. The cubic root of 257226912 is about 635.9731803097.

The spelling of 257226912 in words is "two hundred fifty-seven million, two hundred twenty-six thousand, nine hundred twelve".