461077920 has 336 divisors, whose sum is σ = 1685668320. Its totient is φ = 119066112.

The previous prime is 461077913. The next prime is 461077933. The reversal of 461077920 is 29770164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6881727 + ... + 6881793.

It is an arithmetic number, because the mean of its divisors is an integer number (5016870).

Almost surely, 2^461077920 is an apocalyptic number.

461077920 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 461077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842834160).

461077920 is an abundant number, since it is smaller than the sum of its proper divisors (1224590400).

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

461077920 is an equidigital number, since it uses as much as digits as its factorization.

461077920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 461077920 is about 21472.7250250172. The cubic root of 461077920 is about 772.5467593527.

The spelling of 461077920 in words is "four hundred sixty-one million, seventy-seven thousand, nine hundred twenty".