257545632 has 24 divisors (see below), whose sum is σ = 676057536. Its totient is φ = 85848512.

The previous prime is 257545621. The next prime is 257545633. The reversal of 257545632 is 236545752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (257545633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1341288 + ... + 1341479.

It is an arithmetic number, because the mean of its divisors is an integer number (28169064).

Almost surely, 2^257545632 is an apocalyptic number.

It is an amenable number.

257545632 is an abundant number, since it is smaller than the sum of its proper divisors (418511904).

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

257545632 is a wasteful number, since it uses less digits than its factorization.

257545632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682780 (or 2682772 counting only the distinct ones).

The product of its digits is 252000, while the sum is 39.

The square root of 257545632 is about 16048.2283134307. The cubic root of 257545632 is about 636.2357418872.

The spelling of 257545632 in words is "two hundred fifty-seven million, five hundred forty-five thousand, six hundred thirty-two".