501665920 has 192 divisors, whose sum is σ = 1478732760. Its totient is φ = 161710080.

The previous prime is 501665909. The next prime is 501665953. The reversal of 501665920 is 29566105.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 469675584 + 31990336 = 21672^2 + 5656^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 532650 + ... + 533590.

Almost surely, 2^501665920 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 501665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739366380).

501665920 is an abundant number, since it is smaller than the sum of its proper divisors (977066840).

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

501665920 is a wasteful number, since it uses less digits than its factorization.

501665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 501665920 is about 22397.8999015533. The cubic root of 501665920 is about 794.5810431796.

The spelling of 501665920 in words is "five hundred one million, six hundred sixty-five thousand, nine hundred twenty".