506922200 has 96 divisors (see below), whose sum is σ = 1231386960. Its totient is φ = 193881600.

The previous prime is 506922191. The next prime is 506922209. The reversal of 506922200 is 2229605.

It is an interprime number because it is at equal distance from previous prime (506922191) and next prime (506922209).

It is a self number, because there is not a number n which added to its sum of digits gives 506922200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506922209) 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, 450839 + ... + 451961.

Almost surely, 2^506922200 is an apocalyptic number.

506922200 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 506922200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615693480).

506922200 is an abundant number, since it is smaller than the sum of its proper divisors (724464760).

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

506922200 is a wasteful number, since it uses less digits than its factorization.

506922200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 506922200 is about 22514.9328224625. The cubic root of 506922200 is about 797.3465210425.

The spelling of 506922200 in words is "five hundred six million, nine hundred twenty-two thousand, two hundred".