480170992 has 60 divisors (see below), whose sum is σ = 1085079360. Its totient is φ = 205244928.

The previous prime is 480170989. The next prime is 480171011. The reversal of 480170992 is 299071084.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475384 + ... + 476392.

It is an arithmetic number, because the mean of its divisors is an integer number (18084656).

Almost surely, 2^480170992 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 480170992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542539680).

480170992 is an abundant number, since it is smaller than the sum of its proper divisors (604908368).

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

480170992 is a wasteful number, since it uses less digits than its factorization.

480170992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 480170992 is about 21912.8042933806. The cubic root of 480170992 is about 783.0664909525.

The spelling of 480170992 in words is "four hundred eighty million, one hundred seventy thousand, nine hundred ninety-two".