461504320 has 56 divisors (see below), whose sum is σ = 1106350848. Its totient is φ = 183360000.

The previous prime is 461504311. The next prime is 461504353. The reversal of 461504320 is 23405164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43545 + ... + 53095.

Almost surely, 2^461504320 is an apocalyptic number.

461504320 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 461504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553175424).

461504320 is an abundant number, since it is smaller than the sum of its proper divisors (644846528).

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

461504320 is a wasteful number, since it uses less digits than its factorization.

461504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9719 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 461504320 is about 21482.6516054234. The cubic root of 461504320 is about 772.7848336780.

Adding to 461504320 its reverse (23405164), we get a palindrome (484909484).

The spelling of 461504320 in words is "four hundred sixty-one million, five hundred four thousand, three hundred twenty".