480440844 has 36 divisors (see below), whose sum is σ = 1307868016. Its totient is φ = 147827808.

The previous prime is 480440839. The next prime is 480440861. The reversal of 480440844 is 448044084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 480440799 and 480440808.

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, 512824 + ... + 513759.

Almost surely, 2^480440844 is an apocalyptic number.

It is an amenable number.

480440844 is an abundant number, since it is smaller than the sum of its proper divisors (827427172).

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

480440844 is a wasteful number, since it uses less digits than its factorization.

480440844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026606 (or 1026601 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 480440844 is about 21918.9608330322. The cubic root of 480440844 is about 783.2131557097.

The spelling of 480440844 in words is "four hundred eighty million, four hundred forty thousand, eight hundred forty-four".