431214264 has 96 divisors (see below), whose sum is σ = 1265453280. Its totient is φ = 131864832.

The previous prime is 431214241. The next prime is 431214271. The reversal of 431214264 is 462412134.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160597 + ... + 163259.

It is an arithmetic number, because the mean of its divisors is an integer number (13181805).

Almost surely, 2^431214264 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 431214264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632726640).

431214264 is an abundant number, since it is smaller than the sum of its proper divisors (834239016).

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

431214264 is a wasteful number, since it uses less digits than its factorization.

431214264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2854 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 431214264 is about 20765.6992177003. The cubic root of 431214264 is about 755.4940345076.

Adding to 431214264 its reverse (462412134), we get a palindrome (893626398).

The spelling of 431214264 in words is "four hundred thirty-one million, two hundred fourteen thousand, two hundred sixty-four".