457611264 has 288 divisors, whose sum is σ = 1505059920. Its totient is φ = 132710400.

The previous prime is 457611247. The next prime is 457611277. The reversal of 457611264 is 462116754.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 7501794 + ... + 7501854.

Almost surely, 2^457611264 is an apocalyptic number.

457611264 is a gapful number since it is divisible by the number (44) 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 457611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752529960).

457611264 is an abundant number, since it is smaller than the sum of its proper divisors (1047448656).

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

457611264 is a wasteful number, since it uses less digits than its factorization.

457611264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 457611264 is about 21391.8504108457. The cubic root of 457611264 is about 770.6057323954.

The spelling of 457611264 in words is "four hundred fifty-seven million, six hundred eleven thousand, two hundred sixty-four".