257972500 has 60 divisors (see below), whose sum is σ = 593934880. Its totient is φ = 97740000.

The previous prime is 257972453. The next prime is 257972503. The reversal of 257972500 is 5279752.

It is a self number, because there is not a number n which added to its sum of digits gives 257972500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257972503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44785 + ... + 50215.

Almost surely, 2^257972500 is an apocalyptic number.

257972500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257972500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296967440).

257972500 is an abundant number, since it is smaller than the sum of its proper divisors (335962380).

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

257972500 is a wasteful number, since it uses less digits than its factorization.

257972500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 257972500 is about 16061.5223437880. The cubic root of 257972500 is about 636.5870566772.

The spelling of 257972500 in words is "two hundred fifty-seven million, nine hundred seventy-two thousand, five hundred".