29420200 has 72 divisors (see below), whose sum is σ = 72805050. Its totient is φ = 11054080.

The previous prime is 29420191. The next prime is 29420201. The reversal of 29420200 is 202492.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 12659364 + 16760836 = 3558^2 + 4094^2 .

It is not an unprimeable number, because it can be changed into a prime (29420201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57546 + ... + 58054.

Almost surely, 2^29420200 is an apocalyptic number.

29420200 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 29420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36402525).

29420200 is an abundant number, since it is smaller than the sum of its proper divisors (43384850).

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

29420200 is a wasteful number, since it uses less digits than its factorization.

29420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 29420200 is about 5424.0390854049. The cubic root of 29420200 is about 308.7084663872.

Adding to 29420200 its reverse (202492), we get a palindrome (29622692).

The spelling of 29420200 in words is "twenty-nine million, four hundred twenty thousand, two hundred".