501268992 has 160 divisors (see below), whose sum is σ = 1593326592. Its totient is φ = 136925184.

The previous prime is 501268979. The next prime is 501268997. The reversal of 501268992 is 299862105.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (501268997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246283 + ... + 248309.

Almost surely, 2^501268992 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 501268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796663296).

501268992 is an abundant number, since it is smaller than the sum of its proper divisors (1092057600).

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

501268992 is a wasteful number, since it uses less digits than its factorization.

501268992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 501268992 is about 22389.0373174016. The cubic root of 501268992 is about 794.3714251386.

The spelling of 501268992 in words is "five hundred one million, two hundred sixty-eight thousand, nine hundred ninety-two".