459957716000 has 48 divisors (see below), whose sum is σ = 1130116118040. Its totient is φ = 183983084800.

The previous prime is 459957715999. The next prime is 459957716003. The reversal of 459957716000 is 617759954.

It can be written as a sum of positive squares in 4 ways, for example, as 85056222736 + 374901493264 = 291644^2 + 612292^2 .

It is a super-2 number, since 2×459957716000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (459957716003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57490715 + ... + 57498714.

Almost surely, 2^459957716000 is an apocalyptic number.

459957716000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459957716000 is an abundant number, since it is smaller than the sum of its proper divisors (670158402040).

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

459957716000 is a wasteful number, since it uses less digits than its factorization.

459957716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114989454 (or 114989436 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 53.

The spelling of 459957716000 in words is "four hundred fifty-nine billion, nine hundred fifty-seven million, seven hundred sixteen thousand".