501480960 has 320 divisors, whose sum is σ = 1781885952. Its totient is φ = 119668736.

The previous prime is 501480949. The next prime is 501480961. The reversal of 501480960 is 69084105.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501480961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3002797 + ... + 3002963.

Almost surely, 2^501480960 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 501480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890942976).

501480960 is an abundant number, since it is smaller than the sum of its proper divisors (1280404992).

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

501480960 is a wasteful number, since it uses less digits than its factorization.

501480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 501480960 is about 22393.7705623685. The cubic root of 501480960 is about 794.4833793963.

The spelling of 501480960 in words is "five hundred one million, four hundred eighty thousand, nine hundred sixty".