481307360 has 48 divisors (see below), whose sum is σ = 1143961056. Its totient is φ = 191359488.

The previous prime is 481307357. The next prime is 481307423. The reversal of 481307360 is 63703184.

481307360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 17714 + ... + 35726.

It is an arithmetic number, because the mean of its divisors is an integer number (23832522).

Almost surely, 2^481307360 is an apocalyptic number.

481307360 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 481307360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571980528).

481307360 is an abundant number, since it is smaller than the sum of its proper divisors (662653696).

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

481307360 is a wasteful number, since it uses less digits than its factorization.

481307360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18195 (or 18187 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 481307360 is about 21938.7182852600. The cubic root of 481307360 is about 783.6837367996.

The spelling of 481307360 in words is "four hundred eighty-one million, three hundred seven thousand, three hundred sixty".