461218576 has 135 divisors (see below), whose sum is σ = 1145021301. Its totient is φ = 179367552.

The previous prime is 461218547. The next prime is 461218591. The reversal of 461218576 is 675812164.

The square root of 461218576 is 21476.

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

It can be written as a sum of positive squares in only one way, i.e., 68227600 + 392990976 = 8260^2 + 19824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7817235 + ... + 7817293.

Almost surely, 2^461218576 is an apocalyptic number.

461218576 is the 21476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461218576

461218576 is an abundant number, since it is smaller than the sum of its proper divisors (683802725).

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

461218576 is a wasteful number, since it uses less digits than its factorization.

461218576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 81 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The cubic root of 461218576 is about 772.6253088303.

The spelling of 461218576 in words is "four hundred sixty-one million, two hundred eighteen thousand, five hundred seventy-six".