257343752 has 16 divisors (see below), whose sum is σ = 507915600. Its totient is φ = 121899600.

The previous prime is 257343727. The next prime is 257343763.

It is a happy number.

257343752 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 846374 + ... + 846677.

It is an arithmetic number, because the mean of its divisors is an integer number (31744725).

Almost surely, 2^257343752 is an apocalyptic number.

It is an amenable number.

257343752 is a deficient number, since it is larger than the sum of its proper divisors (250571848).

257343752 is a wasteful number, since it uses less digits than its factorization.

257343752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693076 (or 1693072 counting only the distinct ones).

The product of its digits is 176400, while the sum is 38.

The square root of 257343752 is about 16041.9372894922. The cubic root of 257343752 is about 636.0694582844.

The spelling of 257343752 in words is "two hundred fifty-seven million, three hundred forty-three thousand, seven hundred fifty-two".