504230400 has 240 divisors, whose sum is σ = 1852039200. Its totient is φ = 134369280.

The previous prime is 504230399. The next prime is 504230431. The reversal of 504230400 is 4032405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344871 + ... + 346329.

It is an arithmetic number, because the mean of its divisors is an integer number (7716830).

Almost surely, 2^504230400 is an apocalyptic number.

504230400 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 504230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926019600).

504230400 is an abundant number, since it is smaller than the sum of its proper divisors (1347808800).

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

504230400 is a wasteful number, since it uses less digits than its factorization.

504230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 504230400 is about 22455.0751501748. The cubic root of 504230400 is about 795.9326896106.

Adding to 504230400 its reverse (4032405), we get a palindrome (508262805).

The spelling of 504230400 in words is "five hundred four million, two hundred thirty thousand, four hundred".