257134464 has 48 divisors (see below), whose sum is σ = 739934520. Its totient is φ = 85711104.

The previous prime is 257134441. The next prime is 257134481. The reversal of 257134464 is 464431752.

257134464 is a `hidden beast` number, since 257 + 1 + 344 + 64 = 666.

257134464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×257134464² = 132236265153134592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110452 + ... + 112755.

Almost surely, 2^257134464 is an apocalyptic number.

257134464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257134464 is an abundant number, since it is smaller than the sum of its proper divisors (482800056).

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

257134464 is a wasteful number, since it uses less digits than its factorization.

257134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223227 (or 223212 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 257134464 is about 16035.4128104019. The cubic root of 257134464 is about 635.8969810593.

The spelling of 257134464 in words is "two hundred fifty-seven million, one hundred thirty-four thousand, four hundred sixty-four".