481531680 has 576 divisors, whose sum is σ = 2053029888. Its totient is φ = 100362240.

The previous prime is 481531679. The next prime is 481531693. The reversal of 481531680 is 86135184.

481531680 is a `hidden beast` number, since 48 + 1 + 531 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7187007 + ... + 7187073.

It is an arithmetic number, because the mean of its divisors is an integer number (3564288).

Almost surely, 2^481531680 is an apocalyptic number.

481531680 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 481531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026514944).

481531680 is an abundant number, since it is smaller than the sum of its proper divisors (1571498208).

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

481531680 is a wasteful number, since it uses less digits than its factorization.

481531680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 481531680 is about 21943.8301123573. The cubic root of 481531680 is about 783.8054667978.

The spelling of 481531680 in words is "four hundred eighty-one million, five hundred thirty-one thousand, six hundred eighty".