504242000 has 160 divisors (see below), whose sum is σ = 1278561024. Its totient is φ = 192192000.

The previous prime is 504241999. The next prime is 504242033. The reversal of 504242000 is 242405.

It is a self number, because there is not a number n which added to its sum of digits gives 504242000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7101965 + ... + 7102035.

Almost surely, 2^504242000 is an apocalyptic number.

504242000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639280512).

504242000 is an abundant number, since it is smaller than the sum of its proper divisors (774319024).

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

504242000 is a wasteful number, since it uses less digits than its factorization.

504242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 504242000 is about 22455.3334421914. Note that the first 3 decimals coincide. The cubic root of 504242000 is about 795.9387931355.

Adding to 504242000 its reverse (242405), we get a palindrome (504484405).

The spelling of 504242000 in words is "five hundred four million, two hundred forty-two thousand".