480004240 has 20 divisors (see below), whose sum is σ = 1116010044. Its totient is φ = 192001664.

The previous prime is 480004223. The next prime is 480004241. The reversal of 480004240 is 42400084.

It can be written as a sum of positive squares in 2 ways, for example, as 163021824 + 316982416 = 12768^2 + 17804^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (480004241) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2999947 + ... + 3000106.

Almost surely, 2^480004240 is an apocalyptic number.

480004240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480004240 is an abundant number, since it is smaller than the sum of its proper divisors (636005804).

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

480004240 is a wasteful number, since it uses less digits than its factorization.

480004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000066 (or 6000060 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 480004240 is about 21908.9990643115. Note that the first 3 decimals coincide. The cubic root of 480004240 is about 782.9758336490.

The spelling of 480004240 in words is "four hundred eighty million, four thousand, two hundred forty".