257989752 has 128 divisors (see below), whose sum is σ = 775200000. Its totient is φ = 79221888.

The previous prime is 257989751. The next prime is 257989757.

257989752 is nontrivially palindromic in base 10.

257989752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257989751) 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, 150999 + ... + 152697.

It is an arithmetic number, because the mean of its divisors is an integer number (6056250).

Almost surely, 2^257989752 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 257989752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387600000).

257989752 is an abundant number, since it is smaller than the sum of its proper divisors (517210248).

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

257989752 is a wasteful number, since it uses less digits than its factorization.

257989752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1760 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 257989752 is about 16062.0593947352. The cubic root of 257989752 is about 636.6012470206.

The spelling of 257989752 in words is "two hundred fifty-seven million, nine hundred eighty-nine thousand, seven hundred fifty-two".