331403400 has 168 divisors, whose sum is σ = 1155749130. Its totient is φ = 88335360.

The previous prime is 331403399. The next prime is 331403419. The reversal of 331403400 is 4304133.

It can be written as a sum of positive squares in 3 ways, for example, as 300467556 + 30935844 = 17334^2 + 5562^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 144664 + ... + 146936.

Almost surely, 2^331403400 is an apocalyptic number.

331403400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577874565).

331403400 is an abundant number, since it is smaller than the sum of its proper divisors (824345730).

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

331403400 is a wasteful number, since it uses less digits than its factorization.

331403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 331403400 is about 18204.4884575206. The cubic root of 331403400 is about 692.0205424532.

Adding to 331403400 its reverse (4304133), we get a palindrome (335707533).

The spelling of 331403400 in words is "three hundred thirty-one million, four hundred three thousand, four hundred".