480549120 has 144 divisors (see below), whose sum is σ = 1601776512. Its totient is φ = 122552320.

The previous prime is 480549119. The next prime is 480549133. The reversal of 480549120 is 21945084.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85600 + ... + 91040.

It is an arithmetic number, because the mean of its divisors is an integer number (11123448).

Almost surely, 2^480549120 is an apocalyptic number.

480549120 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 480549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800888256).

480549120 is an abundant number, since it is smaller than the sum of its proper divisors (1121227392).

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

480549120 is a wasteful number, since it uses less digits than its factorization.

480549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 480549120 is about 21921.4306102499. The cubic root of 480549120 is about 783.2719883553.

The spelling of 480549120 in words is "four hundred eighty million, five hundred forty-nine thousand, one hundred twenty".