504523440 has 240 divisors, whose sum is σ = 1782162720. Its totient is φ = 127733760.

The previous prime is 504523403. The next prime is 504523447. The reversal of 504523440 is 44325405.

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

It is not an unprimeable number, because it can be changed into a prime (504523447) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1524075 + ... + 1524405.

It is an arithmetic number, because the mean of its divisors is an integer number (7425678).

Almost surely, 2^504523440 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 504523440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891081360).

504523440 is an abundant number, since it is smaller than the sum of its proper divisors (1277639280).

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

504523440 is a wasteful number, since it uses less digits than its factorization.

504523440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 504523440 is about 22461.5992306870. The cubic root of 504523440 is about 796.0868485999.

Adding to 504523440 its reverse (44325405), we get a palindrome (548848845).

The spelling of 504523440 in words is "five hundred four million, five hundred twenty-three thousand, four hundred forty".