480044480 has 28 divisors (see below), whose sum is σ = 1143106680. Its totient is φ = 192017664.

The previous prime is 480044459. The next prime is 480044483. The reversal of 480044480 is 84440084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480044483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 749750 + ... + 750389.

Almost surely, 2^480044480 is an apocalyptic number.

480044480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480044480 is an abundant number, since it is smaller than the sum of its proper divisors (663062200).

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

480044480 is a wasteful number, since it uses less digits than its factorization.

480044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500156 (or 1500146 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 480044480 is about 21909.9173891642. The cubic root of 480044480 is about 782.9977126691.

The spelling of 480044480 in words is "four hundred eighty million, forty-four thousand, four hundred eighty".