257431392 has 48 divisors (see below), whose sum is σ = 750844080. Its totient is φ = 85810176.

The previous prime is 257431367. The next prime is 257431451. The reversal of 257431392 is 293134752.

257431392 is a `hidden beast` number, since 257 + 4 + 313 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 148113 + ... + 149840.

It is an arithmetic number, because the mean of its divisors is an integer number (15642585).

Almost surely, 2^257431392 is an apocalyptic number.

It is an amenable number.

257431392 is an abundant number, since it is smaller than the sum of its proper divisors (493412688).

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

257431392 is a wasteful number, since it uses less digits than its factorization.

257431392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297972 (or 297958 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 257431392 is about 16044.6686472485. The cubic root of 257431392 is about 636.1416558800.

It can be divided in two parts, 257 and 431392, that added together give a square (431649 = 657²).

The spelling of 257431392 in words is "two hundred fifty-seven million, four hundred thirty-one thousand, three hundred ninety-two".