257672000 has 112 divisors (see below), whose sum is σ = 659343360. Its totient is φ = 99648000.

The previous prime is 257671961. The next prime is 257672021. The reversal of 257672000 is 276752.

It is a happy number.

257672000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247481 + ... + 248519.

Almost surely, 2^257672000 is an apocalyptic number.

257672000 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 257672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329671680).

257672000 is an abundant number, since it is smaller than the sum of its proper divisors (401671360).

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

257672000 is a wasteful number, since it uses less digits than its factorization.

257672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 257672000 is about 16052.1649630198. The cubic root of 257672000 is about 636.3397838926.

The spelling of 257672000 in words is "two hundred fifty-seven million, six hundred seventy-two thousand".