431013440 has 112 divisors (see below), whose sum is σ = 1205910720. Its totient is φ = 144660480.

The previous prime is 431013433. The next prime is 431013463. The reversal of 431013440 is 44310134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41051 + ... + 50469.

It is an arithmetic number, because the mean of its divisors is an integer number (10767060).

Almost surely, 2^431013440 is an apocalyptic number.

431013440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602955360).

431013440 is an abundant number, since it is smaller than the sum of its proper divisors (774897280).

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

431013440 is a wasteful number, since it uses less digits than its factorization.

431013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9460 (or 9450 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 431013440 is about 20760.8631805135. The cubic root of 431013440 is about 755.3767340487.

Adding to 431013440 its reverse (44310134), we get a palindrome (475323574).

The spelling of 431013440 in words is "four hundred thirty-one million, thirteen thousand, four hundred forty".