480185472 has 128 divisors (see below), whose sum is σ = 1406180160. Its totient is φ = 144248832.

The previous prime is 480185413. The next prime is 480185491. The reversal of 480185472 is 274581084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 480185472.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213538 + ... + 215774.

Almost surely, 2^480185472 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 480185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703090080).

480185472 is an abundant number, since it is smaller than the sum of its proper divisors (925994688).

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

480185472 is a wasteful number, since it uses less digits than its factorization.

480185472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 480185472 is about 21913.1346913215. The cubic root of 480185472 is about 783.0743622379.

The spelling of 480185472 in words is "four hundred eighty million, one hundred eighty-five thousand, four hundred seventy-two".