431138720 has 48 divisors (see below), whose sum is σ = 1021938120. Its totient is φ = 171884544.

The previous prime is 431138707. The next prime is 431138797. The reversal of 431138720 is 27831134.

It can be written as a sum of positive squares in 4 ways, for example, as 143904016 + 287234704 = 11996^2 + 16948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45776 + ... + 54384.

Almost surely, 2^431138720 is an apocalyptic number.

431138720 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 431138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510969060).

431138720 is an abundant number, since it is smaller than the sum of its proper divisors (590799400).

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

431138720 is a wasteful number, since it uses less digits than its factorization.

431138720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8937 (or 8929 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 431138720 is about 20763.8801768841. The cubic root of 431138720 is about 755.4499138471.

Adding to 431138720 its reverse (27831134), we get a palindrome (458969854).

The spelling of 431138720 in words is "four hundred thirty-one million, one hundred thirty-eight thousand, seven hundred twenty".