501005920 has 96 divisors (see below), whose sum is σ = 1210023360. Its totient is φ = 195993600.

The previous prime is 501005917. The next prime is 501005933. The reversal of 501005920 is 29500105.

It is a junction number, because it is equal to n+sod(n) for n = 501005891 and 501005900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2150124 + ... + 2150356.

It is an arithmetic number, because the mean of its divisors is an integer number (12604410).

Almost surely, 2^501005920 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 501005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605011680).

501005920 is an abundant number, since it is smaller than the sum of its proper divisors (709017440).

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

501005920 is a wasteful number, since it uses less digits than its factorization.

501005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 501005920 is about 22383.1615282560. The cubic root of 501005920 is about 794.2324355931.

The spelling of 501005920 in words is "five hundred one million, five thousand, nine hundred twenty".