506684700 has 72 divisors (see below), whose sum is σ = 1628906160. Its totient is φ = 135115200.

The previous prime is 506684693. The next prime is 506684701. The reversal of 506684700 is 7486605.

It is a happy number.

506684700 is a `hidden beast` number, since 506 + 6 + 84 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506684701) 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, 91131 + ... + 96530.

Almost surely, 2^506684700 is an apocalyptic number.

506684700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506684700 is an abundant number, since it is smaller than the sum of its proper divisors (1122221460).

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

506684700 is a wasteful number, since it uses less digits than its factorization.

506684700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187684 (or 187671 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 506684700 is about 22509.6579272098. The cubic root of 506684700 is about 797.2219789987.

The spelling of 506684700 in words is "five hundred six million, six hundred eighty-four thousand, seven hundred".