457989960 has 128 divisors (see below), whose sum is σ = 1415076480. Its totient is φ = 118530048.

The previous prime is 457989941. The next prime is 457989977. The reversal of 457989960 is 69989754.

It is a self number, because there is not a number n which added to its sum of digits gives 457989960.

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, 680184 + ... + 680856.

It is an arithmetic number, because the mean of its divisors is an integer number (11055285).

Almost surely, 2^457989960 is an apocalyptic number.

457989960 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 457989960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707538240).

457989960 is an abundant number, since it is smaller than the sum of its proper divisors (957086520).

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

457989960 is a wasteful number, since it uses less digits than its factorization.

457989960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The square root of 457989960 is about 21400.6999885518. The cubic root of 457989960 is about 770.8182452627.

The spelling of 457989960 in words is "four hundred fifty-seven million, nine hundred eighty-nine thousand, nine hundred sixty".