431312448 has 112 divisors (see below), whose sum is σ = 1310152320. Its totient is φ = 122671104.

The previous prime is 431312443. The next prime is 431312459. The reversal of 431312448 is 844213134.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (431312443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360940 + ... + 362132.

Almost surely, 2^431312448 is an apocalyptic number.

431312448 is a gapful number since it is divisible by the number (48) 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 431312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655076160).

431312448 is an abundant number, since it is smaller than the sum of its proper divisors (878839872).

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

431312448 is a wasteful number, since it uses less digits than its factorization.

431312448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1474 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 431312448 is about 20768.0631740179. The cubic root of 431312448 is about 755.5513701165.

It can be divided in two parts, 4313 and 12448, that added together give a palindrome (16761).

The spelling of 431312448 in words is "four hundred thirty-one million, three hundred twelve thousand, four hundred forty-eight".