257929434 has 72 divisors (see below), whose sum is σ = 674227008. Its totient is φ = 73687320.

The previous prime is 257929417. The next prime is 257929459. The reversal of 257929434 is 434929752.

It is a self number, because there is not a number n which added to its sum of digits gives 257929434.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18399 + ... + 29229.

It is an arithmetic number, because the mean of its divisors is an integer number (9364264).

Almost surely, 2^257929434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257929434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337113504).

257929434 is an abundant number, since it is smaller than the sum of its proper divisors (416297574).

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

257929434 is a wasteful number, since it uses less digits than its factorization.

257929434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10862 (or 10843 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 257929434 is about 16060.1816303552. The cubic root of 257929434 is about 636.5516306997.

The spelling of 257929434 in words is "two hundred fifty-seven million, nine hundred twenty-nine thousand, four hundred thirty-four".