331433424 has 160 divisors (see below), whose sum is σ = 1097072640. Its totient is φ = 93840768.

The previous prime is 331433423. The next prime is 331433429. The reversal of 331433424 is 424334133.

331433424 is a `hidden beast` number, since 3 + 314 + 3 + 342 + 4 = 666.

It is a super-2 number, since 2×331433424² = 219696229088727552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331433423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383617 + ... + 384479.

It is an arithmetic number, because the mean of its divisors is an integer number (6856704).

Almost surely, 2^331433424 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 331433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548536320).

331433424 is an abundant number, since it is smaller than the sum of its proper divisors (765639216).

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

331433424 is a wasteful number, since it uses less digits than its factorization.

331433424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1002 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 331433424 is about 18205.3130706396. The cubic root of 331433424 is about 692.0414400434.

Adding to 331433424 its reverse (424334133), we get a palindrome (755767557).

The spelling of 331433424 in words is "three hundred thirty-one million, four hundred thirty-three thousand, four hundred twenty-four".