29421800 has 48 divisors (see below), whose sum is σ = 68914860. Its totient is φ = 11681280.

The previous prime is 29421787. The next prime is 29421803. The reversal of 29421800 is 812492.

It can be written as a sum of positive squares in 6 ways, for example, as 1943236 + 27478564 = 1394^2 + 5242^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29421800.

It is not an unprimeable number, because it can be changed into a prime (29421803) 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 11 ways as a sum of consecutive naturals, for example, 30932 + ... + 31868.

Almost surely, 2^29421800 is an apocalyptic number.

29421800 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 29421800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34457430).

29421800 is an abundant number, since it is smaller than the sum of its proper divisors (39493060).

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

29421800 is a wasteful number, since it uses less digits than its factorization.

29421800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 29421800 is about 5424.1865749622. The cubic root of 29421800 is about 308.7140625942.

The spelling of 29421800 in words is "twenty-nine million, four hundred twenty-one thousand, eight hundred".