257421152 has 48 divisors (see below), whose sum is σ = 530766432. Its totient is φ = 122664960.

The previous prime is 257421133. The next prime is 257421163. The reversal of 257421152 is 251124752.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291752 + ... + 292632.

It is an arithmetic number, because the mean of its divisors is an integer number (11057634).

Almost surely, 2^257421152 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 257421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265383216).

257421152 is an abundant number, since it is smaller than the sum of its proper divisors (273345280).

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

257421152 is a wasteful number, since it uses less digits than its factorization.

257421152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1303 counting only the distinct ones).

The product of its digits is 5600, while the sum is 29.

The square root of 257421152 is about 16044.3495349609. The cubic root of 257421152 is about 636.1332210411.

The spelling of 257421152 in words is "two hundred fifty-seven million, four hundred twenty-one thousand, one hundred fifty-two".