480586932 has 288 divisors, whose sum is σ = 1561577472. Its totient is φ = 126251136.

The previous prime is 480586903. The next prime is 480586933. The reversal of 480586932 is 239685084.

480586932 is a `hidden beast` number, since 480 + 5 + 86 + 93 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480586933) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5790163 + ... + 5790245.

It is an arithmetic number, because the mean of its divisors is an integer number (5422144).

Almost surely, 2^480586932 is an apocalyptic number.

480586932 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480586932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780788736).

480586932 is an abundant number, since it is smaller than the sum of its proper divisors (1080990540).

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

480586932 is a wasteful number, since it uses less digits than its factorization.

480586932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 480586932 is about 21922.2930369977. The cubic root of 480586932 is about 783.2925317312.

The spelling of 480586932 in words is "four hundred eighty million, five hundred eighty-six thousand, nine hundred thirty-two".