501096960 has 480 divisors, whose sum is σ = 2144862720. Its totient is φ = 105283584.

The previous prime is 501096941. The next prime is 501096961. The reversal of 501096960 is 69690105.

501096960 is a `hidden beast` number, since 501 + 0 + 96 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (501096961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096521 + ... + 2096759.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2^501096960 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 501096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

501096960 is an abundant number, since it is smaller than the sum of its proper divisors (1643765760).

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

501096960 is a wasteful number, since it uses less digits than its factorization.

501096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 501096960 is about 22385.1951074812. The cubic root of 501096960 is about 794.2805405082.

The spelling of 501096960 in words is "five hundred one million, ninety-six thousand, nine hundred sixty".