461937720 has 64 divisors (see below), whose sum is σ = 1388949120. Its totient is φ = 122904704.

The previous prime is 461937701. The next prime is 461937737. The reversal of 461937720 is 27739164.

It is a congruent number.

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, 51919 + ... + 60161.

It is an arithmetic number, because the mean of its divisors is an integer number (21702330).

Almost surely, 2^461937720 is an apocalyptic number.

461937720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461937720 is an abundant number, since it is smaller than the sum of its proper divisors (927011400).

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

461937720 is a wasteful number, since it uses less digits than its factorization.

461937720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 461937720 is about 21492.7364474606. The cubic root of 461937720 is about 773.0266661261.

The spelling of 461937720 in words is "four hundred sixty-one million, nine hundred thirty-seven thousand, seven hundred twenty".