461930496 has 128 divisors (see below), whose sum is σ = 1275048960. Its totient is φ = 148635648.

The previous prime is 461930471. The next prime is 461930507. The reversal of 461930496 is 694039164.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3637185 + ... + 3637311.

It is an arithmetic number, because the mean of its divisors is an integer number (9961320).

Almost surely, 2^461930496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461930496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637524480).

461930496 is an abundant number, since it is smaller than the sum of its proper divisors (813118464).

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

461930496 is an equidigital number, since it uses as much as digits as its factorization.

461930496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 461930496 is about 21492.5683900273. The cubic root of 461930496 is about 773.0226364532.

The spelling of 461930496 in words is "four hundred sixty-one million, nine hundred thirty thousand, four hundred ninety-six".