481995360 has 864 divisors, whose sum is σ = 2258710272. Its totient is φ = 95800320.

The previous prime is 481995329. The next prime is 481995379. The reversal of 481995360 is 63599184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20956309 + ... + 20956331.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 2^481995360 is an apocalyptic number.

481995360 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 481995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129355136).

481995360 is an abundant number, since it is smaller than the sum of its proper divisors (1776714912).

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

481995360 is a wasteful number, since it uses less digits than its factorization.

481995360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 481995360 is about 21954.3927267415. The cubic root of 481995360 is about 784.0569686494.

The spelling of 481995360 in words is "four hundred eighty-one million, nine hundred ninety-five thousand, three hundred sixty".