481504320 has 168 divisors, whose sum is σ = 1806854400. Its totient is φ = 116720640.

The previous prime is 481504279. The next prime is 481504349. The reversal of 481504320 is 23405184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24081 + ... + 39279.

Almost surely, 2^481504320 is an apocalyptic number.

481504320 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 481504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903427200).

481504320 is an abundant number, since it is smaller than the sum of its proper divisors (1325350080).

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

481504320 is a wasteful number, since it uses less digits than its factorization.

481504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15233 (or 15220 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 481504320 is about 21943.2066936444. The cubic root of 481504320 is about 783.7906215830.

The spelling of 481504320 in words is "four hundred eighty-one million, five hundred four thousand, three hundred twenty".