257342520 has 128 divisors (see below), whose sum is σ = 810388800. Its totient is φ = 65286144.

The previous prime is 257342509. The next prime is 257342567. The reversal of 257342520 is 25243752.

257342520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253534 + ... + 254546.

Almost surely, 2^257342520 is an apocalyptic number.

257342520 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 257342520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405194400).

257342520 is an abundant number, since it is smaller than the sum of its proper divisors (553046280).

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

257342520 is a wasteful number, since it uses less digits than its factorization.

257342520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 257342520 is about 16041.8988900940. The cubic root of 257342520 is about 636.0684432493.

The spelling of 257342520 in words is "two hundred fifty-seven million, three hundred forty-two thousand, five hundred twenty".