461036560 has 40 divisors (see below), whose sum is σ = 1073156760. Its totient is φ = 184200192.

The previous prime is 461036551. The next prime is 461036573. The reversal of 461036560 is 65630164.

It can be written as a sum of positive squares in 4 ways, for example, as 25563136 + 435473424 = 5056^2 + 20868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78196 + ... + 83884.

It is an arithmetic number, because the mean of its divisors is an integer number (26828919).

Almost surely, 2^461036560 is an apocalyptic number.

461036560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461036560 is an abundant number, since it is smaller than the sum of its proper divisors (612120200).

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

461036560 is a wasteful number, since it uses less digits than its factorization.

461036560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 461036560 is about 21471.7619211838. The cubic root of 461036560 is about 772.5236587818.

The spelling of 461036560 in words is "four hundred sixty-one million, thirty-six thousand, five hundred sixty".