480687984 has 120 divisors (see below), whose sum is σ = 1587136512. Its totient is φ = 132900480.

The previous prime is 480687967. The next prime is 480688001. The reversal of 480687984 is 489786084.

480687984 is a `hidden beast` number, since 480 + 6 + 87 + 9 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (480687967) and next prime (480688001).

It is a super-3 number, since 3×480687984³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480687984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23557 + ... + 38939.

Almost surely, 2^480687984 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 480687984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793568256).

480687984 is an abundant number, since it is smaller than the sum of its proper divisors (1106448528).

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

480687984 is a wasteful number, since it uses less digits than its factorization.

480687984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15435 (or 15426 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 480687984 is about 21924.5976930023. The cubic root of 480687984 is about 783.3474283063.

It can be divided in two parts, 480687 and 984, that added together give a triangular number (481671 = T₉₈₁).

The spelling of 480687984 in words is "four hundred eighty million, six hundred eighty-seven thousand, nine hundred eighty-four".