431040312 has 128 divisors (see below), whose sum is σ = 1231200000. Its totient is φ = 139678848.

The previous prime is 431040307. The next prime is 431040319. The reversal of 431040312 is 213040134.

431040312 is a `hidden beast` number, since 4 + 310 + 40 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431040319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1898743 + ... + 1898969.

It is an arithmetic number, because the mean of its divisors is an integer number (9618750).

Almost surely, 2^431040312 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 431040312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615600000).

431040312 is an abundant number, since it is smaller than the sum of its proper divisors (800159688).

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

431040312 is a wasteful number, since it uses less digits than its factorization.

431040312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 431040312 is about 20761.5103496831. The cubic root of 431040312 is about 755.3924319829.

Adding to 431040312 its reverse (213040134), we get a palindrome (644080446).

The spelling of 431040312 in words is "four hundred thirty-one million, forty thousand, three hundred twelve".