480516540 has 144 divisors (see below), whose sum is σ = 1577856672. Its totient is φ = 108939264.

The previous prime is 480516511. The next prime is 480516557. The reversal of 480516540 is 45615084.

It is a super-2 number, since 2×480516540² = 461792290427143200, which contains 22 as substring.

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, 402184 + ... + 403376.

It is an arithmetic number, because the mean of its divisors is an integer number (10957338).

Almost surely, 2^480516540 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 480516540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788928336).

480516540 is an abundant number, since it is smaller than the sum of its proper divisors (1097340132).

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

480516540 is a wasteful number, since it uses less digits than its factorization.

480516540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 480516540 is about 21920.6874892189. The cubic root of 480516540 is about 783.2542866768.

The spelling of 480516540 in words is "four hundred eighty million, five hundred sixteen thousand, five hundred forty".