500388900 has 144 divisors (see below), whose sum is σ = 1609771968. Its totient is φ = 118976000.

The previous prime is 500388899. The next prime is 500388907. The reversal of 500388900 is 9883005.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (500388907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173470 + ... + 176330.

It is an arithmetic number, because the mean of its divisors is an integer number (11178972).

Almost surely, 2^500388900 is an apocalyptic number.

500388900 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 500388900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804885984).

500388900 is an abundant number, since it is smaller than the sum of its proper divisors (1109383068).

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

500388900 is a wasteful number, since it uses less digits than its factorization.

500388900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 500388900 is about 22369.3741530692. The cubic root of 500388900 is about 793.9062527449.

The spelling of 500388900 in words is "five hundred million, three hundred eighty-eight thousand, nine hundred".