480082944 has 88 divisors (see below), whose sum is σ = 1396021248. Its totient is φ = 145469440.

The previous prime is 480082943. The next prime is 480082949. The reversal of 480082944 is 449280084.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480082943) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26689 + ... + 40895.

Almost surely, 2^480082944 is an apocalyptic number.

480082944 is a gapful number since it is divisible by the number (44) 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 480082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698010624).

480082944 is an abundant number, since it is smaller than the sum of its proper divisors (915938304).

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

480082944 is a wasteful number, since it uses less digits than its factorization.

480082944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14241 (or 14223 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 480082944 is about 21910.7951475979. The cubic root of 480082944 is about 783.0186249115.

The spelling of 480082944 in words is "four hundred eighty million, eighty-two thousand, nine hundred forty-four".