500729040 has 600 divisors, whose sum is σ = 2155174560. Its totient is φ = 107122176.

The previous prime is 500729027. The next prime is 500729057. The reversal of 500729040 is 40927005.

500729040 is a `hidden beast` number, since 500 + 72 + 90 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 500728995 and 500729013.

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 119 ways as a sum of consecutive naturals, for example, 6032839 + ... + 6032921.

Almost surely, 2^500729040 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 500729040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077587280).

500729040 is an abundant number, since it is smaller than the sum of its proper divisors (1654445520).

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

500729040 is a wasteful number, since it uses less digits than its factorization.

500729040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 500729040 is about 22376.9756669663. The cubic root of 500729040 is about 794.0860982673.

The spelling of 500729040 in words is "five hundred million, seven hundred twenty-nine thousand, forty".