257472192 has 112 divisors (see below), whose sum is σ = 723148160. Its totient is φ = 80621568.

The previous prime is 257472181. The next prime is 257472197. The reversal of 257472192 is 291274752.

257472192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (70560) is a multiple of the sum of its prime factors (630).

It is a self number, because there is not a number n which added to its sum of digits gives 257472192.

It is not an unprimeable number, because it can be changed into a prime (257472197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594408 + ... + 594840.

It is an arithmetic number, because the mean of its divisors is an integer number (6456680).

Almost surely, 2^257472192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257472192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361574080).

257472192 is an abundant number, since it is smaller than the sum of its proper divisors (465675968).

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

257472192 is a wasteful number, since it uses less digits than its factorization.

257472192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 620 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 257472192 is about 16045.9400472518. The cubic root of 257472192 is about 636.1752612202.

The spelling of 257472192 in words is "two hundred fifty-seven million, four hundred seventy-two thousand, one hundred ninety-two".