461506580 has 48 divisors (see below), whose sum is σ = 1055376000. Its totient is φ = 168852096.

The previous prime is 461506553. The next prime is 461506601. The reversal of 461506580 is 85605164.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 461506580.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9920 + ... + 31959.

It is an arithmetic number, because the mean of its divisors is an integer number (21987000).

Almost surely, 2^461506580 is an apocalyptic number.

It is an amenable number.

461506580 is an abundant number, since it is smaller than the sum of its proper divisors (593869420).

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

461506580 is a wasteful number, since it uses less digits than its factorization.

461506580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41936 (or 41934 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 461506580 is about 21482.7042059420. The cubic root of 461506580 is about 772.7860951258.

The spelling of 461506580 in words is "four hundred sixty-one million, five hundred six thousand, five hundred eighty".