29400200 has 96 divisors (see below), whose sum is σ = 73153800. Its totient is φ = 10967040.

The previous prime is 29400197. The next prime is 29400221. The reversal of 29400200 is 200492.

It can be written as a sum of positive squares in 12 ways, for example, as 7628644 + 21771556 = 2762^2 + 4666^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214532 + ... + 214668.

Almost surely, 2^29400200 is an apocalyptic number.

29400200 is a gapful number since it is divisible by the number (20) 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 29400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36576900).

29400200 is an abundant number, since it is smaller than the sum of its proper divisors (43753600).

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

29400200 is a wasteful number, since it uses less digits than its factorization.

29400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 29400200 is about 5422.1951274369. The cubic root of 29400200 is about 308.6384966732.

Adding to 29400200 its reverse (200492), we get a palindrome (29600692).

The spelling of 29400200 in words is "twenty-nine million, four hundred thousand, two hundred".