459976942656 has 567 divisors, whose sum is σ = 1690404610167. Its totient is φ = 119148986880.

The previous prime is 459976942651. The next prime is 459976942673. The reversal of 459976942656 is 656249679954.

The square root of 459976942656 is 678216.

It is a perfect power (a square), and thus also a powerful number.

459976942656 is a `hidden beast` number, since 4 + 5 + 9 + 97 + 69 + 426 + 56 = 666.

It is a super-2 number, since 2×459976942656² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (459976942651) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1253342985 + ... + 1253343351.

Almost surely, 2^459976942656 is an apocalyptic number.

459976942656 is the 678216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459976942656

459976942656 is an abundant number, since it is smaller than the sum of its proper divisors (1230427667511).

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

459976942656 is a wasteful number, since it uses less digits than its factorization.

459976942656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 390 counting only the distinct ones).

The product of its digits is 881798400, while the sum is 72.

The spelling of 459976942656 in words is "four hundred fifty-nine billion, nine hundred seventy-six million, nine hundred forty-two thousand, six hundred fifty-six".