257430312 has 112 divisors (see below), whose sum is σ = 743873940. Its totient is φ = 83420928.

The previous prime is 257430307. The next prime is 257430331. The reversal of 257430312 is 213034752.

It can be written as a sum of positive squares in 2 ways, for example, as 243547236 + 13883076 = 15606^2 + 3726^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 215188 + ... + 216380.

Almost surely, 2^257430312 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 257430312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371936970).

257430312 is an abundant number, since it is smaller than the sum of its proper divisors (486443628).

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

257430312 is a wasteful number, since it uses less digits than its factorization.

257430312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 257430312 is about 16044.6349911738. The cubic root of 257430312 is about 636.1407662786.

The spelling of 257430312 in words is "two hundred fifty-seven million, four hundred thirty thousand, three hundred twelve".