480324006 has 24 divisors (see below), whose sum is σ = 1079247624. Its totient is φ = 160107840.

The previous prime is 480323989. The next prime is 480324023. The reversal of 480324006 is 600423084.

It is an interprime number because it is at equal distance from previous prime (480323989) and next prime (480324023).

It is a super-2 number, since 2×480324006² = 461422301479776072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 11 ways as a sum of consecutive naturals, for example, 493675 + ... + 494646.

It is an arithmetic number, because the mean of its divisors is an integer number (44968651).

Almost surely, 2^480324006 is an apocalyptic number.

480324006 is an abundant number, since it is smaller than the sum of its proper divisors (598923618).

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

480324006 is an equidigital number, since it uses as much as digits as its factorization.

480324006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988338 (or 988326 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 480324006 is about 21916.2954442579. The cubic root of 480324006 is about 783.1496609154.

The spelling of 480324006 in words is "four hundred eighty million, three hundred twenty-four thousand, six".