504198240 has 576 divisors, whose sum is σ = 2128400064. Its totient is φ = 99090432.

The previous prime is 504198239. The next prime is 504198301. The reversal of 504198240 is 42891405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5197872 + ... + 5197968.

It is an arithmetic number, because the mean of its divisors is an integer number (3695139).

Almost surely, 2^504198240 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 504198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064200032).

504198240 is an abundant number, since it is smaller than the sum of its proper divisors (1624201824).

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

504198240 is a wasteful number, since it uses less digits than its factorization.

504198240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 504198240 is about 22454.3590422884. The cubic root of 504198240 is about 795.9157676245.

The spelling of 504198240 in words is "five hundred four million, one hundred ninety-eight thousand, two hundred forty".