501535920 has 80 divisors (see below), whose sum is σ = 1561900032. Its totient is φ = 133128960.

The previous prime is 501535871. The next prime is 501535939. The reversal of 501535920 is 29535105.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48835 + ... + 58205.

Almost surely, 2^501535920 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 501535920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780950016).

501535920 is an abundant number, since it is smaller than the sum of its proper divisors (1060364112).

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

501535920 is a wasteful number, since it uses less digits than its factorization.

501535920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610 (or 9604 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 501535920 is about 22394.9976557266. The cubic root of 501535920 is about 794.5124022406.

The spelling of 501535920 in words is "five hundred one million, five hundred thirty-five thousand, nine hundred twenty".