257605428 has 48 divisors (see below), whose sum is σ = 628661376. Its totient is φ = 81945600.

The previous prime is 257605423. The next prime is 257605441. The reversal of 257605428 is 824506752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257605421) 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, 165100 + ... + 166652.

It is an arithmetic number, because the mean of its divisors is an integer number (13097112).

Almost surely, 2^257605428 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 257605428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314330688).

257605428 is an abundant number, since it is smaller than the sum of its proper divisors (371055948).

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

257605428 is a wasteful number, since it uses less digits than its factorization.

257605428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 257605428 is about 16050.0912146941. The cubic root of 257605428 is about 636.2849777038.

The spelling of 257605428 in words is "two hundred fifty-seven million, six hundred five thousand, four hundred twenty-eight".