504241920 has 648 divisors, whose sum is σ = 2217380256. Its totient is φ = 103514112.

The previous prime is 504241919. The next prime is 504241973. The reversal of 504241920 is 29142405.

504241920 is a `hidden beast` number, since 50 + 424 + 192 + 0 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13628142 + ... + 13628178.

Almost surely, 2^504241920 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 504241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108690128).

504241920 is an abundant number, since it is smaller than the sum of its proper divisors (1713138336).

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

504241920 is a wasteful number, since it uses less digits than its factorization.

504241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 504241920 is about 22455.3316608773. The cubic root of 504241920 is about 795.9387510426.

The spelling of 504241920 in words is "five hundred four million, two hundred forty-one thousand, nine hundred twenty".