480544440 has 128 divisors (see below), whose sum is σ = 1541928960. Its totient is φ = 119384064.

The previous prime is 480544433. The next prime is 480544453. The reversal of 480544440 is 44445084.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 208977 + ... + 211263.

It is an arithmetic number, because the mean of its divisors is an integer number (12046320).

Almost surely, 2^480544440 is an apocalyptic number.

480544440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480544440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770964480).

480544440 is an abundant number, since it is smaller than the sum of its proper divisors (1061384520).

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

480544440 is a wasteful number, since it uses less digits than its factorization.

480544440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The square root of 480544440 is about 21921.3238651319. The cubic root of 480544440 is about 783.2694456220.

The spelling of 480544440 in words is "four hundred eighty million, five hundred forty-four thousand, four hundred forty".