257461932 has 96 divisors (see below), whose sum is σ = 778355200. Its totient is φ = 64323072.

The previous prime is 257461921. The next prime is 257461937. The reversal of 257461932 is 239164752.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (257461937) 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, 14544 + ... + 26952.

Almost surely, 2^257461932 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 257461932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389177600).

257461932 is an abundant number, since it is smaller than the sum of its proper divisors (520893268).

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

257461932 is a wasteful number, since it uses less digits than its factorization.

257461932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12455 (or 12453 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 257461932 is about 16045.6203370265. The cubic root of 257461932 is about 636.1668107997.

The spelling of 257461932 in words is "two hundred fifty-seven million, four hundred sixty-one thousand, nine hundred thirty-two".