257956464 has 40 divisors (see below), whose sum is σ = 701463040. Its totient is φ = 81459648.

The previous prime is 257956463. The next prime is 257956511. The reversal of 257956464 is 464659752.

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 (257956463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140512 + ... + 142335.

It is an arithmetic number, because the mean of its divisors is an integer number (17536576).

Almost surely, 2^257956464 is an apocalyptic number.

257956464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257956464 is an abundant number, since it is smaller than the sum of its proper divisors (443506576).

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

257956464 is a wasteful number, since it uses less digits than its factorization.

257956464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282877 (or 282871 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 257956464 is about 16061.0231305481. The cubic root of 257956464 is about 636.5738659668.

The spelling of 257956464 in words is "two hundred fifty-seven million, nine hundred fifty-six thousand, four hundred sixty-four".