506468300 has 36 divisors (see below), whose sum is σ = 1183580496. Its totient is φ = 187003200.

The previous prime is 506468293. The next prime is 506468309. The reversal of 506468300 is 3864605.

It is not an unprimeable number, because it can be changed into a prime (506468309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193496 + ... + 196095.

It is an arithmetic number, because the mean of its divisors is an integer number (32877236).

Almost surely, 2^506468300 is an apocalyptic number.

506468300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506468300 is an abundant number, since it is smaller than the sum of its proper divisors (677112196).

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

506468300 is a wasteful number, since it uses less digits than its factorization.

506468300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389618 (or 389611 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 506468300 is about 22504.8505882621. The cubic root of 506468300 is about 797.1084676424.

The spelling of 506468300 in words is "five hundred six million, four hundred sixty-eight thousand, three hundred".