334440400 has 120 divisors (see below), whose sum is σ = 948145664. Its totient is φ = 110937600.

The previous prime is 334440367. The next prime is 334440419. The reversal of 334440400 is 4044433.

It is a happy number.

It is a super-2 number, since 2×334440400² = 223700762304320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84874 + ... + 88726.

Almost surely, 2^334440400 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 334440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474072832).

334440400 is an abundant number, since it is smaller than the sum of its proper divisors (613705264).

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

334440400 is a wasteful number, since it uses less digits than its factorization.

334440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 334440400 is about 18287.7117212624. The cubic root of 334440400 is about 694.1280232887.

Adding to 334440400 its reverse (4044433), we get a palindrome (338484833).

The spelling of 334440400 in words is "three hundred thirty-four million, four hundred forty thousand, four hundred".