500428800 has 312 divisors, whose sum is σ = 1848544880. Its totient is φ = 132710400.

The previous prime is 500428781. The next prime is 500428801. The reversal of 500428800 is 8824005.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500428801) by changing a digit.

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, 2764710 + ... + 2764890.

Almost surely, 2^500428800 is an apocalyptic number.

500428800 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 500428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924272440).

500428800 is an abundant number, since it is smaller than the sum of its proper divisors (1348116080).

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

500428800 is a wasteful number, since it uses less digits than its factorization.

500428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 500428800 is about 22370.2659796436. The cubic root of 500428800 is about 793.9273536777.

The spelling of 500428800 in words is "five hundred million, four hundred twenty-eight thousand, eight hundred".