257994464 has 96 divisors (see below), whose sum is σ = 658183680. Its totient is φ = 96671232.

The previous prime is 257994449. The next prime is 257994467. The reversal of 257994464 is 464499752.

257994464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257994464² = 133122286909294592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257994467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52997 + ... + 57659.

It is an arithmetic number, because the mean of its divisors is an integer number (6856080).

Almost surely, 2^257994464 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 257994464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329091840).

257994464 is an abundant number, since it is smaller than the sum of its proper divisors (400189216).

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

257994464 is a wasteful number, since it uses less digits than its factorization.

257994464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4704 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 50.

The square root of 257994464 is about 16062.2060751318. The cubic root of 257994464 is about 636.6051226872.

The spelling of 257994464 in words is "two hundred fifty-seven million, nine hundred ninety-four thousand, four hundred sixty-four".