461316564 has 18 divisors (see below), whose sum is σ = 1166105850. Its totient is φ = 153772176.

The previous prime is 461316553. The next prime is 461316571. The reversal of 461316564 is 465613164.

It is a happy number.

461316564 is a `hidden beast` number, since 4 + 61 + 31 + 6 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 437228100 + 24088464 = 20910^2 + 4908^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12814349 = 461316564 / (4 + 6 + 1 + 3 + 1 + 6 + 5 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6407139 + ... + 6407210.

Almost surely, 2^461316564 is an apocalyptic number.

It is an amenable number.

461316564 is an abundant number, since it is smaller than the sum of its proper divisors (704789286).

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

461316564 is a wasteful number, since it uses less digits than its factorization.

461316564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12814359 (or 12814354 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 461316564 is about 21478.2812161495. The cubic root of 461316564 is about 772.6800208850.

The spelling of 461316564 in words is "four hundred sixty-one million, three hundred sixteen thousand, five hundred sixty-four".