257578752 has 108 divisors (see below), whose sum is σ = 710392200. Its totient is φ = 82851840.

The previous prime is 257578751. The next prime is 257578787. The reversal of 257578752 is 257875752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257578751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737874 + ... + 738222.

Almost surely, 2^257578752 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 257578752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355196100).

257578752 is an abundant number, since it is smaller than the sum of its proper divisors (452813448).

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

257578752 is an equidigital number, since it uses as much as digits as its factorization.

257578752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 385 counting only the distinct ones).

The product of its digits is 1372000, while the sum is 48.

The square root of 257578752 is about 16049.2601698645. The cubic root of 257578752 is about 636.2630137204.

The spelling of 257578752 in words is "two hundred fifty-seven million, five hundred seventy-eight thousand, seven hundred fifty-two".