461684480 has 72 divisors (see below), whose sum is σ = 1109990112. Its totient is φ = 183988224.

The previous prime is 461684407. The next prime is 461684513. The reversal of 461684480 is 84486164.

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 7 ways as a sum of consecutive naturals, for example, 476957 + ... + 477923.

Almost surely, 2^461684480 is an apocalyptic number.

461684480 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 461684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554995056).

461684480 is an abundant number, since it is smaller than the sum of its proper divisors (648305632).

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

461684480 is an equidigital number, since it uses as much as digits as its factorization.

461684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 461684480 is about 21486.8443471814. The cubic root of 461684480 is about 772.8853793622.

The spelling of 461684480 in words is "four hundred sixty-one million, six hundred eighty-four thousand, four hundred eighty".