461173320 has 192 divisors, whose sum is σ = 1590451200. Its totient is φ = 115568640.

The previous prime is 461173319. The next prime is 461173357. The reversal of 461173320 is 23371164.

461173320 is a `hidden beast` number, since 461 + 173 + 32 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1306264 + ... + 1306616.

It is an arithmetic number, because the mean of its divisors is an integer number (8283600).

Almost surely, 2^461173320 is an apocalyptic number.

461173320 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 461173320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795225600).

461173320 is an abundant number, since it is smaller than the sum of its proper divisors (1129277880).

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

461173320 is a wasteful number, since it uses less digits than its factorization.

461173320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 461173320 is about 21474.9463328782. The cubic root of 461173320 is about 772.6000373166.

The spelling of 461173320 in words is "four hundred sixty-one million, one hundred seventy-three thousand, three hundred twenty".