504343440 has 120 divisors (see below), whose sum is σ = 1703964600. Its totient is φ = 133681152.

The previous prime is 504343423. The next prime is 504343447. The reversal of 504343440 is 44343405.

It can be written as a sum of positive squares in 4 ways, for example, as 86713344 + 417630096 = 9312^2 + 20436^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (504343447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122536 + ... + 126584.

It is an arithmetic number, because the mean of its divisors is an integer number (14199705).

Almost surely, 2^504343440 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 504343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851982300).

504343440 is an abundant number, since it is smaller than the sum of its proper divisors (1199621160).

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

504343440 is a wasteful number, since it uses less digits than its factorization.

504343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 504343440 is about 22457.5920347663. The cubic root of 504343440 is about 795.9921634204.

Adding to 504343440 its reverse (44343405), we get a palindrome (548686845).

The spelling of 504343440 in words is "five hundred four million, three hundred forty-three thousand, four hundred forty".