257458464 has 72 divisors (see below), whose sum is σ = 738017280. Its totient is φ = 85131648.

The previous prime is 257458459. The next prime is 257458499. The reversal of 257458464 is 464854752.

257458464 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 584 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33057 + ... + 40095.

It is an arithmetic number, because the mean of its divisors is an integer number (10250240).

Almost surely, 2^257458464 is an apocalyptic number.

257458464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257458464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369008640).

257458464 is an abundant number, since it is smaller than the sum of its proper divisors (480558816).

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

257458464 is a wasteful number, since it uses less digits than its factorization.

257458464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7182 (or 7171 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 257458464 is about 16045.5122697906. The cubic root of 257458464 is about 636.1639544079.

The spelling of 257458464 in words is "two hundred fifty-seven million, four hundred fifty-eight thousand, four hundred sixty-four".