480016180224 has 297 divisors, whose sum is σ = 1613893310211. Its totient is φ = 137014456320.

The previous prime is 480016180219. The next prime is 480016180247. The reversal of 480016180224 is 422081610084.

The square root of 480016180224 is 692832.

It is a perfect power (a square), and thus also a powerful number.

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 26 ways as a sum of consecutive naturals, for example, 465582589 + ... + 465583619.

Almost surely, 2^480016180224 is an apocalyptic number.

480016180224 is the 692832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480016180224

480016180224 is an abundant number, since it is smaller than the sum of its proper divisors (1133877129987).

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

480016180224 is an equidigital number, since it uses as much as digits as its factorization.

480016180224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Multiplying 480016180224 by its sum of digits (36), we get a square (17280582488064 = 4156992²).

480016180224 divided by its sum of digits (36) gives a square (13333782784 = 115472²).

The spelling of 480016180224 in words is "four hundred eighty billion, sixteen million, one hundred eighty thousand, two hundred twenty-four".