504431440 has 20 divisors (see below), whose sum is σ = 1172803284. Its totient is φ = 201772544.

The previous prime is 504431419. The next prime is 504431443. The reversal of 504431440 is 44134405.

It can be written as a sum of positive squares in 2 ways, for example, as 320123664 + 184307776 = 17892^2 + 13576^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504431443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3152617 + ... + 3152776.

Almost surely, 2^504431440 is an apocalyptic number.

It is an amenable number.

504431440 is an abundant number, since it is smaller than the sum of its proper divisors (668371844).

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

504431440 is a wasteful number, since it uses less digits than its factorization.

504431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305406 (or 6305400 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 504431440 is about 22459.5511976531. The cubic root of 504431440 is about 796.0384567668.

Adding to 504431440 its reverse (44134405), we get a palindrome (548565845).

The spelling of 504431440 in words is "five hundred four million, four hundred thirty-one thousand, four hundred forty".