257672324 has 48 divisors (see below), whose sum is σ = 558195456. Its totient is φ = 101347200.

The previous prime is 257672323. The next prime is 257672339. The reversal of 257672324 is 423276752.

257672324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (257672321) 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, 63929 + ... + 67839.

It is an arithmetic number, because the mean of its divisors is an integer number (11629072).

Almost surely, 2^257672324 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 257672324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279097728).

257672324 is an abundant number, since it is smaller than the sum of its proper divisors (300523132).

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

257672324 is a wasteful number, since it uses less digits than its factorization.

257672324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4114 counting only the distinct ones).

The product of its digits is 141120, while the sum is 38.

The square root of 257672324 is about 16052.1750551132. The cubic root of 257672324 is about 636.3400506064.

The spelling of 257672324 in words is "two hundred fifty-seven million, six hundred seventy-two thousand, three hundred twenty-four".