431983368 has 80 divisors (see below), whose sum is σ = 1230570000. Its totient is φ = 141541344.

The previous prime is 431983327. The next prime is 431983381. The reversal of 431983368 is 863389134.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32583 + ... + 43881.

It is an arithmetic number, because the mean of its divisors is an integer number (15382125).

Almost surely, 2^431983368 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 431983368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615285000).

431983368 is an abundant number, since it is smaller than the sum of its proper divisors (798586632).

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

431983368 is a wasteful number, since it uses less digits than its factorization.

431983368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376 (or 11363 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 431983368 is about 20784.2095832389. The cubic root of 431983368 is about 755.9429284203.

The spelling of 431983368 in words is "four hundred thirty-one million, nine hundred eighty-three thousand, three hundred sixty-eight".