334122400 has 72 divisors (see below), whose sum is σ = 819533484. Its totient is φ = 133017600.

The previous prime is 334122343. The next prime is 334122409. The reversal of 334122400 is 4221433.

It can be written as a sum of positive squares in 6 ways, for example, as 154455184 + 179667216 = 12428^2 + 13404^2 .

It is a super-2 number, since 2×334122400² = 223275556363520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334122409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191934 + ... + 193666.

Almost surely, 2^334122400 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 334122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409766742).

334122400 is an abundant number, since it is smaller than the sum of its proper divisors (485411084).

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

334122400 is a wasteful number, since it uses less digits than its factorization.

334122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 334122400 is about 18279.0152907644. The cubic root of 334122400 is about 693.9079514821.

Adding to 334122400 its reverse (4221433), we get a palindrome (338343833).

The spelling of 334122400 in words is "three hundred thirty-four million, one hundred twenty-two thousand, four hundred".