480983580 has 144 divisors (see below), whose sum is σ = 1819044864. Its totient is φ = 99941760.

The previous prime is 480983579. The next prime is 480983593. The reversal of 480983580 is 85389084.

480983580 is a `hidden beast` number, since 480 + 98 + 3 + 5 + 80 = 666.

It is a super-3 number, since 3×480983580³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3492 + ... + 31211.

It is an arithmetic number, because the mean of its divisors is an integer number (12632256).

Almost surely, 2^480983580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480983580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909522432).

480983580 is an abundant number, since it is smaller than the sum of its proper divisors (1338061284).

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

480983580 is a wasteful number, since it uses less digits than its factorization.

480983580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34736 (or 34731 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 480983580 is about 21931.3378524886. The cubic root of 480983580 is about 783.5079668996.

The spelling of 480983580 in words is "four hundred eighty million, nine hundred eighty-three thousand, five hundred eighty".