331402400 has 288 divisors, whose sum is σ = 1007935488. Its totient is φ = 103910400.

The previous prime is 331402391. The next prime is 331402411. The reversal of 331402400 is 4204133.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3992759 + ... + 3992841.

It is an arithmetic number, because the mean of its divisors is an integer number (3499776).

Almost surely, 2^331402400 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 331402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503967744).

331402400 is an abundant number, since it is smaller than the sum of its proper divisors (676533088).

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

331402400 is a wasteful number, since it uses less digits than its factorization.

331402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 331402400 is about 18204.4609917460. The cubic root of 331402400 is about 692.0198464020.

Adding to 331402400 its reverse (4204133), we get a palindrome (335606533).

The spelling of 331402400 in words is "three hundred thirty-one million, four hundred two thousand, four hundred".