480506992 has 40 divisors (see below), whose sum is σ = 1069376000. Its totient is φ = 204887232.

The previous prime is 480506987. The next prime is 480507029. The reversal of 480506992 is 299605084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11509 + ... + 33067.

It is an arithmetic number, because the mean of its divisors is an integer number (26734400).

Almost surely, 2^480506992 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 480506992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534688000).

480506992 is an abundant number, since it is smaller than the sum of its proper divisors (588869008).

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

480506992 is a wasteful number, since it uses less digits than its factorization.

480506992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21773 (or 21767 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 480506992 is about 21920.4697029968. The cubic root of 480506992 is about 783.2490988141.

The spelling of 480506992 in words is "four hundred eighty million, five hundred six thousand, nine hundred ninety-two".