461977776 has 80 divisors (see below), whose sum is σ = 1428068320. Its totient is φ = 142145280.

The previous prime is 461977757. The next prime is 461977783. The reversal of 461977776 is 677779164.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35515 + ... + 46746.

It is an arithmetic number, because the mean of its divisors is an integer number (17850854).

Almost surely, 2^461977776 is an apocalyptic number.

It is an amenable number.

461977776 is an abundant number, since it is smaller than the sum of its proper divisors (966090544).

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

461977776 is a wasteful number, since it uses less digits than its factorization.

461977776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82291 (or 82279 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

The square root of 461977776 is about 21493.6682769601. The cubic root of 461977776 is about 773.0490092977.

The spelling of 461977776 in words is "four hundred sixty-one million, nine hundred seventy-seven thousand, seven hundred seventy-six".