506764200 has 96 divisors (see below), whose sum is σ = 1653688800. Its totient is φ = 128021760.

The previous prime is 506764187. The next prime is 506764201. The reversal of 506764200 is 2467605.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (506764201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10827 + ... + 33626.

It is an arithmetic number, because the mean of its divisors is an integer number (17225925).

Almost surely, 2^506764200 is an apocalyptic number.

506764200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506764200 is an abundant number, since it is smaller than the sum of its proper divisors (1146924600).

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

506764200 is a wasteful number, since it uses less digits than its factorization.

506764200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44491 (or 44482 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 506764200 is about 22511.4237666124. The cubic root of 506764200 is about 797.2636721416.

The spelling of 506764200 in words is "five hundred six million, seven hundred sixty-four thousand, two hundred".