506329824 has 288 divisors, whose sum is σ = 1801820160. Its totient is φ = 121144320.

The previous prime is 506329801. The next prime is 506329871. The reversal of 506329824 is 428923605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1056817 + ... + 1057295.

It is an arithmetic number, because the mean of its divisors is an integer number (6256320).

Almost surely, 2^506329824 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 506329824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900910080).

506329824 is an abundant number, since it is smaller than the sum of its proper divisors (1295490336).

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

506329824 is a wasteful number, since it uses less digits than its factorization.

506329824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 506329824 is about 22501.7737967477. The cubic root of 506329824 is about 797.0358138991.

The spelling of 506329824 in words is "five hundred six million, three hundred twenty-nine thousand, eight hundred twenty-four".