506623824 has 180 divisors, whose sum is σ = 1677550368. Its totient is φ = 139812480.

The previous prime is 506623811. The next prime is 506623841. The reversal of 506623824 is 428326605.

506623824 is a `hidden beast` number, since 5 + 0 + 6 + 623 + 8 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 968427 + ... + 968949.

Almost surely, 2^506623824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506623824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838775184).

506623824 is an abundant number, since it is smaller than the sum of its proper divisors (1170926544).

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

506623824 is a wasteful number, since it uses less digits than its factorization.

506623824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 506623824 is about 22508.3056670199. The cubic root of 506623824 is about 797.1900501160.

The spelling of 506623824 in words is "five hundred six million, six hundred twenty-three thousand, eight hundred twenty-four".