461377160 has 64 divisors (see below), whose sum is σ = 1062186480. Its totient is φ = 180311040.

The previous prime is 461377151. The next prime is 461377177. The reversal of 461377160 is 61773164.

It can be written as a sum of positive squares in 8 ways, for example, as 320195236 + 141181924 = 17894^2 + 11882^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 461377160.

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, 421574 + ... + 422666.

Almost surely, 2^461377160 is an apocalyptic number.

461377160 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 461377160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531093240).

461377160 is an abundant number, since it is smaller than the sum of its proper divisors (600809320).

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

461377160 is a wasteful number, since it uses less digits than its factorization.

461377160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 461377160 is about 21479.6918041205. The cubic root of 461377160 is about 772.7138510660.

The spelling of 461377160 in words is "four hundred sixty-one million, three hundred seventy-seven thousand, one hundred sixty".