480092540220 has 576 divisors, whose sum is σ = 1661496520320. Its totient is φ = 111588212736.

The previous prime is 480092540209. The next prime is 480092540251. The reversal of 480092540220 is 22045290084.

480092540220 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 92 + 540 + 2 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 239685739 + ... + 239687741.

It is an arithmetic number, because the mean of its divisors is an integer number (2884542570).

Almost surely, 2^480092540220 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 480092540220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830748260160).

480092540220 is an abundant number, since it is smaller than the sum of its proper divisors (1181403980100).

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

480092540220 is a wasteful number, since it uses less digits than its factorization.

480092540220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 480092540220 in words is "four hundred eighty billion, ninety-two million, five hundred forty thousand, two hundred twenty".