480720944 has 40 divisors (see below), whose sum is σ = 1023537168. Its totient is φ = 216903680.

The previous prime is 480720943. The next prime is 480720979. The reversal of 480720944 is 449027084.

It is a super-3 number, since 3×480720944³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 480720898 and 480720907.

It is not an unprimeable number, because it can be changed into a prime (480720943) 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, 14144 + ... + 34080.

Almost surely, 2^480720944 is an apocalyptic number.

480720944 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 480720944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511768584).

480720944 is an abundant number, since it is smaller than the sum of its proper divisors (542816224).

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

480720944 is a wasteful number, since it uses less digits than its factorization.

480720944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20093 (or 20087 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 480720944 is about 21925.3493472738. The cubic root of 480720944 is about 783.3653321871.

The spelling of 480720944 in words is "four hundred eighty million, seven hundred twenty thousand, nine hundred forty-four".