500401440 has 288 divisors, whose sum is σ = 2129452416. Its totient is φ = 103956480.

The previous prime is 500401427. The next prime is 500401441. The reversal of 500401440 is 44104005.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (500401441) 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, 108624 + ... + 113136.

It is an arithmetic number, because the mean of its divisors is an integer number (7393932).

Almost surely, 2^500401440 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 500401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064726208).

500401440 is an abundant number, since it is smaller than the sum of its proper divisors (1629050976).

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

500401440 is a wasteful number, since it uses less digits than its factorization.

500401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 500401440 is about 22369.6544452524. The cubic root of 500401440 is about 793.9128845875.

Adding to 500401440 its reverse (44104005), we get a palindrome (544505445).

The spelling of 500401440 in words is "five hundred million, four hundred one thousand, four hundred forty".