481800960 has 216 divisors, whose sum is σ = 1729837200. Its totient is φ = 128397312.

The previous prime is 481800931. The next prime is 481800989. The reversal of 481800960 is 69008184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (481800931) and next prime (481800989).

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 310266 + ... + 311814.

Almost surely, 2^481800960 is an apocalyptic number.

481800960 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 481800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864918600).

481800960 is an abundant number, since it is smaller than the sum of its proper divisors (1248036240).

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

481800960 is an equidigital number, since it uses as much as digits as its factorization.

481800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 481800960 is about 21949.9649202453. The cubic root of 481800960 is about 783.9515449714.

The spelling of 481800960 in words is "four hundred eighty-one million, eight hundred thousand, nine hundred sixty".