461584360 has 72 divisors (see below), whose sum is σ = 1076908770. Its totient is φ = 178057152.

The previous prime is 461584351. The next prime is 461584427. The reversal of 461584360 is 63485164.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 415425924 + 46158436 = 20382^2 + 6794^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5842801 + ... + 5842879.

Almost surely, 2^461584360 is an apocalyptic number.

461584360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461584360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538454385).

461584360 is an abundant number, since it is smaller than the sum of its proper divisors (615324410).

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

461584360 is an equidigital number, since it uses as much as digits as its factorization.

461584360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 461584360 is about 21484.5144231840. The cubic root of 461584360 is about 772.8295065156.

It can be divided in two parts, 461 and 584360, that added together give a triangular number (584821 = T₁₀₈₁).

The spelling of 461584360 in words is "four hundred sixty-one million, five hundred eighty-four thousand, three hundred sixty".