481908960 has 192 divisors, whose sum is σ = 1816637760. Its totient is φ = 118609920.

The previous prime is 481908941. The next prime is 481908961. The reversal of 481908960 is 69809184.

481908960 is a `hidden beast` number, since 481 + 90 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481908961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51870 + ... + 60450.

It is an arithmetic number, because the mean of its divisors is an integer number (9461655).

Almost surely, 2^481908960 is an apocalyptic number.

481908960 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 481908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908318880).

481908960 is an abundant number, since it is smaller than the sum of its proper divisors (1334728800).

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

481908960 is a wasteful number, since it uses less digits than its factorization.

481908960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8618 (or 8604 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 481908960 is about 21952.4249230011. The cubic root of 481908960 is about 784.0101171817.

The spelling of 481908960 in words is "four hundred eighty-one million, nine hundred eight thousand, nine hundred sixty".