431144340 has 96 divisors (see below), whose sum is σ = 1338664320. Its totient is φ = 102796800.

The previous prime is 431144321. The next prime is 431144383. The reversal of 431144340 is 43441134.

431144340 = 306² + 307² + ... + 1097².

It is a self number, because there is not a number n which added to its sum of digits gives 431144340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34906 + ... + 45614.

It is an arithmetic number, because the mean of its divisors is an integer number (13944420).

Almost surely, 2^431144340 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 431144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669332160).

431144340 is an abundant number, since it is smaller than the sum of its proper divisors (907519980).

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

431144340 is a wasteful number, since it uses less digits than its factorization.

431144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10793 (or 10791 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 431144340 is about 20764.0155076035. The cubic root of 431144340 is about 755.4531963251.

Adding to 431144340 its reverse (43441134), we get a palindrome (474585474).

The spelling of 431144340 in words is "four hundred thirty-one million, one hundred forty-four thousand, three hundred forty".