480982720 has 112 divisors (see below), whose sum is σ = 1214323200. Its totient is φ = 180956160.

The previous prime is 480982709. The next prime is 480982727. The reversal of 480982720 is 27289084.

It is a super-3 number, since 3×480982720³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (480982727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1452955 + ... + 1453285.

Almost surely, 2^480982720 is an apocalyptic number.

480982720 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 480982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607161600).

480982720 is an abundant number, since it is smaller than the sum of its proper divisors (733340480).

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

480982720 is a wasteful number, since it uses less digits than its factorization.

480982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 480982720 is about 21931.3182458328. The cubic root of 480982720 is about 783.5074999279.

The spelling of 480982720 in words is "four hundred eighty million, nine hundred eighty-two thousand, seven hundred twenty".