480420624 has 40 divisors (see below), whose sum is σ = 1306409440. Its totient is φ = 151711488.

The previous prime is 480420613. The next prime is 480420649. The reversal of 480420624 is 426024084.

It is a junction number, because it is equal to n+sod(n) for n = 480420591 and 480420600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262477 + ... + 264300.

It is an arithmetic number, because the mean of its divisors is an integer number (32660236).

Almost surely, 2^480420624 is an apocalyptic number.

It is an amenable number.

480420624 is an abundant number, since it is smaller than the sum of its proper divisors (825988816).

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

480420624 is a wasteful number, since it uses less digits than its factorization.

480420624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526807 (or 526801 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 480420624 is about 21918.4995836850. The cubic root of 480420624 is about 783.2021680287.

The spelling of 480420624 in words is "four hundred eighty million, four hundred twenty thousand, six hundred twenty-four".