481591320 has 128 divisors (see below), whose sum is σ = 1656806400. Its totient is φ = 109702656.

The previous prime is 481591307. The next prime is 481591339. The reversal of 481591320 is 23195184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300762 + ... + 302358.

It is an arithmetic number, because the mean of its divisors is an integer number (12943800).

Almost surely, 2^481591320 is an apocalyptic number.

481591320 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 481591320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828403200).

481591320 is an abundant number, since it is smaller than the sum of its proper divisors (1175215080).

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

481591320 is a wasteful number, since it uses less digits than its factorization.

481591320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 481591320 is about 21945.1889944015. The cubic root of 481591320 is about 783.8378248130.

The spelling of 481591320 in words is "four hundred eighty-one million, five hundred ninety-one thousand, three hundred twenty".