504973824 has 80 divisors (see below), whose sum is σ = 1370885472. Its totient is φ = 165122048.

The previous prime is 504973813. The next prime is 504973853. The reversal of 504973824 is 428379405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78307 + ... + 84509.

Almost surely, 2^504973824 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 504973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685442736).

504973824 is an abundant number, since it is smaller than the sum of its proper divisors (865911648).

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

504973824 is an equidigital number, since it uses as much as digits as its factorization.

504973824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6277 (or 6261 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 504973824 is about 22471.6226383410. The cubic root of 504973824 is about 796.3236649125.

The spelling of 504973824 in words is "five hundred four million, nine hundred seventy-three thousand, eight hundred twenty-four".