257913432 has 96 divisors (see below), whose sum is σ = 800935200. Its totient is φ = 73446912.

The previous prime is 257913389. The next prime is 257913473. The reversal of 257913432 is 234319752.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199444 + ... + 200732.

It is an arithmetic number, because the mean of its divisors is an integer number (8343075).

Almost surely, 2^257913432 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 257913432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400467600).

257913432 is an abundant number, since it is smaller than the sum of its proper divisors (543021768).

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

257913432 is a wasteful number, since it uses less digits than its factorization.

257913432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1698 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 257913432 is about 16059.6834339908. The cubic root of 257913432 is about 636.5384664921.

The spelling of 257913432 in words is "two hundred fifty-seven million, nine hundred thirteen thousand, four hundred thirty-two".