501268480 has 120 divisors (see below), whose sum is σ = 1250388720. Its totient is φ = 192675840.

The previous prime is 501268447. The next prime is 501268483. The reversal of 501268480 is 84862105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501268483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2375575 + ... + 2375785.

It is an arithmetic number, because the mean of its divisors is an integer number (10419906).

Almost surely, 2^501268480 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 501268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625194360).

501268480 is an abundant number, since it is smaller than the sum of its proper divisors (749120240).

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

501268480 is an equidigital number, since it uses as much as digits as its factorization.

501268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 501268480 is about 22389.0258832313. The cubic root of 501268480 is about 794.3711546795.

The spelling of 501268480 in words is "five hundred one million, two hundred sixty-eight thousand, four hundred eighty".