461192880 has 80 divisors (see below), whose sum is σ = 1441050624. Its totient is φ = 122008320.

The previous prime is 461192873. The next prime is 461192917. The reversal of 461192880 is 88291164.

It is a tau number, because it is divible by the number of its divisors (80).

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, 22915 + ... + 38045.

Almost surely, 2^461192880 is an apocalyptic number.

461192880 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 461192880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720525312).

461192880 is an abundant number, since it is smaller than the sum of its proper divisors (979857744).

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

461192880 is a wasteful number, since it uses less digits than its factorization.

461192880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15274 (or 15268 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 461192880 is about 21475.4017424587. The cubic root of 461192880 is about 772.6109600669.

The spelling of 461192880 in words is "four hundred sixty-one million, one hundred ninety-two thousand, eight hundred eighty".