500385600 has 672 divisors, whose sum is σ = 2169444480. Its totient is φ = 111974400.

The previous prime is 500385569. The next prime is 500385617. The reversal of 500385600 is 6583005.

500385600 is a `hidden beast` number, since 50 + 0 + 3 + 8 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38491194 + ... + 38491206.

It is an arithmetic number, because the mean of its divisors is an integer number (3228340).

Almost surely, 2^500385600 is an apocalyptic number.

500385600 is a gapful number since it is divisible by the number (50) 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 500385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084722240).

500385600 is an abundant number, since it is smaller than the sum of its proper divisors (1669058880).

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

500385600 is a wasteful number, since it uses less digits than its factorization.

500385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 500385600 is about 22369.3003913846. The cubic root of 500385600 is about 793.9045075048.

The spelling of 500385600 in words is "five hundred million, three hundred eighty-five thousand, six hundred".