334200400 has 60 divisors (see below), whose sum is σ = 807885792. Its totient is φ = 132853120.

The previous prime is 334200397. The next prime is 334200407. The reversal of 334200400 is 4002433.

It is a super-2 number, since 2×334200400² = 223379814720320000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334200407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 64299 + ... + 69301.

Almost surely, 2^334200400 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 334200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403942896).

334200400 is an abundant number, since it is smaller than the sum of its proper divisors (473685392).

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

334200400 is a wasteful number, since it uses less digits than its factorization.

334200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 334200400 is about 18281.1487604034. The cubic root of 334200400 is about 693.9619442794.

Adding to 334200400 its reverse (4002433), we get a palindrome (338202833).

The spelling of 334200400 in words is "three hundred thirty-four million, two hundred thousand, four hundred".