431440144 has 80 divisors (see below), whose sum is σ = 962081280. Its totient is φ = 186071040.

The previous prime is 431440123. The next prime is 431440151. The reversal of 431440144 is 441044134.

It is a happy number.

It is a super-2 number, since 2×431440144² = 372281195709481472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158862 + ... + 161554.

It is an arithmetic number, because the mean of its divisors is an integer number (12026016).

Almost surely, 2^431440144 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 431440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481040640).

431440144 is an abundant number, since it is smaller than the sum of its proper divisors (530641136).

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

431440144 is a wasteful number, since it uses less digits than its factorization.

431440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 431440144 is about 20771.1372822963. The cubic root of 431440144 is about 755.6259265610.

Adding to 431440144 its reverse (441044134), we get a palindrome (872484278).

The spelling of 431440144 in words is "four hundred thirty-one million, four hundred forty thousand, one hundred forty-four".