480315033036 has 192 divisors, whose sum is σ = 1289994854400. Its totient is φ = 154462353408.

The previous prime is 480315032993. The next prime is 480315033043. The reversal of 480315033036 is 630330513084.

480315033036 is a `hidden beast` number, since 4 + 8 + 0 + 315 + 0 + 330 + 3 + 6 = 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 63 ways as a sum of consecutive naturals, for example, 165795940 + ... + 165798836.

It is an arithmetic number, because the mean of its divisors is an integer number (6718723200).

Almost surely, 2^480315033036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480315033036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644997427200).

480315033036 is an abundant number, since it is smaller than the sum of its proper divisors (809679821364).

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

480315033036 is a wasteful number, since it uses less digits than its factorization.

480315033036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 480315033036 in words is "four hundred eighty billion, three hundred fifteen million, thirty-three thousand, thirty-six".