480531636 has 96 divisors (see below), whose sum is σ = 1364630400. Its totient is φ = 145324800.

The previous prime is 480531629. The next prime is 480531643. The reversal of 480531636 is 636135084.

It is an interprime number because it is at equal distance from previous prime (480531629) and next prime (480531643).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 480531636.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79936 + ... + 85736.

It is an arithmetic number, because the mean of its divisors is an integer number (14214900).

Almost surely, 2^480531636 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 480531636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682315200).

480531636 is an abundant number, since it is smaller than the sum of its proper divisors (884098764).

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

480531636 is a wasteful number, since it uses less digits than its factorization.

480531636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 480531636 is about 21921.0318187808. The cubic root of 480531636 is about 783.2624888800.

The spelling of 480531636 in words is "four hundred eighty million, five hundred thirty-one thousand, six hundred thirty-six".