506063600 has 120 divisors (see below), whose sum is σ = 1399984800. Its totient is φ = 172200960.

The previous prime is 506063587. The next prime is 506063653. The reversal of 506063600 is 6360605.

It is a super-2 number, since 2×506063600² = 512200734489920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506063600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416594 + ... + 417806.

It is an arithmetic number, because the mean of its divisors is an integer number (11666540).

Almost surely, 2^506063600 is an apocalyptic number.

506063600 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 506063600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699992400).

506063600 is an abundant number, since it is smaller than the sum of its proper divisors (893921200).

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

506063600 is a wasteful number, since it uses less digits than its factorization.

506063600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 506063600 is about 22495.8573964186. The cubic root of 506063600 is about 796.8960978138.

The spelling of 506063600 in words is "five hundred six million, sixty-three thousand, six hundred".