457687680 has 128 divisors (see below), whose sum is σ = 1471150080. Its totient is φ = 121024512.

The previous prime is 457687673. The next prime is 457687709. The reversal of 457687680 is 86786754.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242902 + ... + 244778.

It is an arithmetic number, because the mean of its divisors is an integer number (11493360).

Almost surely, 2^457687680 is an apocalyptic number.

457687680 is a gapful number since it is divisible by the number (40) 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 457687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735575040).

457687680 is an abundant number, since it is smaller than the sum of its proper divisors (1013462400).

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

457687680 is a wasteful number, since it uses less digits than its factorization.

457687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The square root of 457687680 is about 21393.6364370343. The cubic root of 457687680 is about 770.6486242083.

The spelling of 457687680 in words is "four hundred fifty-seven million, six hundred eighty-seven thousand, six hundred eighty".