257820772 has 24 divisors (see below), whose sum is σ = 494282880. Its totient is φ = 116696160.

The previous prime is 257820767. The next prime is 257820799. The reversal of 257820772 is 277028752.

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, 1743 + ... + 22774.

It is an arithmetic number, because the mean of its divisors is an integer number (20595120).

Almost surely, 2^257820772 is an apocalyptic number.

257820772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257820772 is a deficient number, since it is larger than the sum of its proper divisors (236462108).

257820772 is a wasteful number, since it uses less digits than its factorization.

257820772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24771 (or 24769 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 40.

The square root of 257820772 is about 16056.7983109959. The cubic root of 257820772 is about 636.4622280961.

The spelling of 257820772 in words is "two hundred fifty-seven million, eight hundred twenty thousand, seven hundred seventy-two".