431343440 has 80 divisors (see below), whose sum is σ = 1117428480. Its totient is φ = 153500160.

The previous prime is 431343421. The next prime is 431343443. The reversal of 431343440 is 44343134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×431343440³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431343443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36146 + ... + 46574.

It is an arithmetic number, because the mean of its divisors is an integer number (13967856).

Almost surely, 2^431343440 is an apocalyptic number.

431343440 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 431343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558714240).

431343440 is an abundant number, since it is smaller than the sum of its proper divisors (686085040).

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

431343440 is a wasteful number, since it uses less digits than its factorization.

431343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10500 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 431343440 is about 20768.8093062650. The cubic root of 431343440 is about 755.5694664234.

Adding to 431343440 its reverse (44343134), we get a palindrome (475686574).

The spelling of 431343440 in words is "four hundred thirty-one million, three hundred forty-three thousand, four hundred forty".