257720604 has 24 divisors (see below), whose sum is σ = 605041920. Its totient is φ = 85379184.

The previous prime is 257720563. The next prime is 257720621. The reversal of 257720604 is 406027752.

It is a super-3 number, since 3×257720604³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 63924 + ... + 67835.

It is an arithmetic number, because the mean of its divisors is an integer number (25210080).

Almost surely, 2^257720604 is an apocalyptic number.

It is an amenable number.

257720604 is an abundant number, since it is smaller than the sum of its proper divisors (347321316).

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

257720604 is a wasteful number, since it uses less digits than its factorization.

257720604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131929 (or 131927 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 257720604 is about 16053.6788307229. The cubic root of 257720604 is about 636.3797917507.

The spelling of 257720604 in words is "two hundred fifty-seven million, seven hundred twenty thousand, six hundred four".