257477132 has 48 divisors (see below), whose sum is σ = 524630400. Its totient is φ = 109330560.

The previous prime is 257477131. The next prime is 257477137. The reversal of 257477132 is 231774752.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (257477131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58919 + ... + 63137.

It is an arithmetic number, because the mean of its divisors is an integer number (10929800).

Almost surely, 2^257477132 is an apocalyptic number.

257477132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257477132 is an abundant number, since it is smaller than the sum of its proper divisors (267153268).

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

257477132 is a wasteful number, since it uses less digits than its factorization.

257477132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4324 counting only the distinct ones).

The product of its digits is 82320, while the sum is 38.

The square root of 257477132 is about 16046.0939795328. The cubic root of 257477132 is about 636.1793298611.

The spelling of 257477132 in words is "two hundred fifty-seven million, four hundred seventy-seven thousand, one hundred thirty-two".