257012424 has 48 divisors (see below), whose sum is σ = 697542300. Its totient is φ = 85490304.

The previous prime is 257012417. The next prime is 257012429. The reversal of 257012424 is 424210752.

257012424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 225540324 + 31472100 = 15018^2 + 5610^2 .

It is not an unprimeable number, because it can be changed into a prime (257012429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33142 + ... + 40154.

Almost surely, 2^257012424 is an apocalyptic number.

257012424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257012424 is an abundant number, since it is smaller than the sum of its proper divisors (440529876).

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

257012424 is a wasteful number, since it uses less digits than its factorization.

257012424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 257012424 is about 16031.6070311120. The cubic root of 257012424 is about 635.7963629532.

The spelling of 257012424 in words is "two hundred fifty-seven million, twelve thousand, four hundred twenty-four".