331132416 has 80 divisors (see below), whose sum is σ = 887522064. Its totient is φ = 109707264.

The previous prime is 331132387. The next prime is 331132423. The reversal of 331132416 is 614231133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295890 + ... + 297006.

Almost surely, 2^331132416 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 331132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443761032).

331132416 is an abundant number, since it is smaller than the sum of its proper divisors (556389648).

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

331132416 is a wasteful number, since it uses less digits than its factorization.

331132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1315 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 331132416 is about 18197.0441555765. The cubic root of 331132416 is about 691.8318724612.

Adding to 331132416 its reverse (614231133), we get a palindrome (945363549).

The spelling of 331132416 in words is "three hundred thirty-one million, one hundred thirty-two thousand, four hundred sixteen".