501385872 has 160 divisors (see below), whose sum is σ = 1462406400. Its totient is φ = 146958336.

The previous prime is 501385817. The next prime is 501385877. The reversal of 501385872 is 278583105.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 501385872.

It is not an unprimeable number, because it can be changed into a prime (501385877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1863754 + ... + 1864022.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2^501385872 is an apocalyptic number.

501385872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501385872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

501385872 is an abundant number, since it is smaller than the sum of its proper divisors (961020528).

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

501385872 is a wasteful number, since it uses less digits than its factorization.

501385872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 501385872 is about 22391.6473712856. The cubic root of 501385872 is about 794.4331610651.

The spelling of 501385872 in words is "five hundred one million, three hundred eighty-five thousand, eight hundred seventy-two".