480041584 has 40 divisors (see below), whose sum is σ = 1015863552. Its totient is φ = 217936320.

The previous prime is 480041557. The next prime is 480041609. The reversal of 480041584 is 485140084.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277747 + ... + 279469.

Almost surely, 2^480041584 is an apocalyptic number.

480041584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

480041584 is an abundant number, since it is smaller than the sum of its proper divisors (535821968).

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

480041584 is a wasteful number, since it uses less digits than its factorization.

480041584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 480041584 is about 21909.8513002713. The cubic root of 480041584 is about 782.9961381164.

The spelling of 480041584 in words is "four hundred eighty million, forty-one thousand, five hundred eighty-four".