331432000 has 112 divisors (see below), whose sum is σ = 869429808. Its totient is φ = 124723200.

The previous prime is 331431979. The next prime is 331432009. The reversal of 331432000 is 234133.

It can be written as a sum of positive squares in 8 ways, for example, as 11451456 + 319980544 = 3384^2 + 17888^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (331432009) 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, 134782 + ... + 137218.

Almost surely, 2^331432000 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 331432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434714904).

331432000 is an abundant number, since it is smaller than the sum of its proper divisors (537997808).

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

331432000 is a wasteful number, since it uses less digits than its factorization.

331432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 331432000 is about 18205.2739611355. The cubic root of 331432000 is about 692.0404489259.

Adding to 331432000 its reverse (234133), we get a palindrome (331666133).

The spelling of 331432000 in words is "three hundred thirty-one million, four hundred thirty-two thousand".