257253430 has 64 divisors (see below), whose sum is σ = 544320000. Its totient is φ = 87499104.

The previous prime is 257253389. The next prime is 257253431. The reversal of 257253430 is 34352752.

257253430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 257253392 and 257253401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257253431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613761 + ... + 614179.

It is an arithmetic number, because the mean of its divisors is an integer number (8505000).

Almost surely, 2^257253430 is an apocalyptic number.

257253430 is an abundant number, since it is smaller than the sum of its proper divisors (287066570).

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

257253430 is a wasteful number, since it uses less digits than its factorization.

257253430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 31.

The square root of 257253430 is about 16039.1218587552. The cubic root of 257253430 is about 635.9950341107.

The spelling of 257253430 in words is "two hundred fifty-seven million, two hundred fifty-three thousand, four hundred thirty".