257485872 has 160 divisors (see below), whose sum is σ = 816376320. Its totient is φ = 68290560.

The previous prime is 257485841. The next prime is 257485903. The reversal of 257485872 is 278584752.

257485872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257485841) and next prime (257485903).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337972 + ... + 338732.

It is an arithmetic number, because the mean of its divisors is an integer number (5102352).

Almost surely, 2^257485872 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 257485872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408188160).

257485872 is an abundant number, since it is smaller than the sum of its proper divisors (558890448).

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

257485872 is a wasteful number, since it uses less digits than its factorization.

257485872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The square root of 257485872 is about 16046.3663176434. The cubic root of 257485872 is about 636.1865280983.

The spelling of 257485872 in words is "two hundred fifty-seven million, four hundred eighty-five thousand, eight hundred seventy-two".