461268932256 has 960 divisors, whose sum is σ = 1628477706240. Its totient is φ = 127585497600.

The previous prime is 461268932209. The next prime is 461268932269. The reversal of 461268932256 is 652239862164.

461268932256 is a `hidden beast` number, since 4 + 6 + 1 + 268 + 9 + 322 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2032021615 + ... + 2032021841.

It is an arithmetic number, because the mean of its divisors is an integer number (1696330944).

Almost surely, 2^461268932256 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 461268932256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814238853120).

461268932256 is an abundant number, since it is smaller than the sum of its proper divisors (1167208773984).

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

461268932256 is a wasteful number, since it uses less digits than its factorization.

461268932256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 293 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 461268932256 in words is "four hundred sixty-one billion, two hundred sixty-eight million, nine hundred thirty-two thousand, two hundred fifty-six".