457308264 has 128 divisors (see below), whose sum is σ = 1435392000. Its totient is φ = 118381824.

The previous prime is 457308259. The next prime is 457308317. The reversal of 457308264 is 462803754.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70302 + ... + 76530.

It is an arithmetic number, because the mean of its divisors is an integer number (11214000).

Almost surely, 2^457308264 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 457308264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717696000).

457308264 is an abundant number, since it is smaller than the sum of its proper divisors (978083736).

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

457308264 is a wasteful number, since it uses less digits than its factorization.

457308264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 457308264 is about 21384.7671018414. The cubic root of 457308264 is about 770.4356134109.

The spelling of 457308264 in words is "four hundred fifty-seven million, three hundred eight thousand, two hundred sixty-four".