29440000 has 120 divisors (see below), whose sum is σ = 76756680. Its totient is φ = 11264000.

The previous prime is 29439989. The next prime is 29440007. The reversal of 29440000 is 4492.

It is a self number, because there is not a number n which added to its sum of digits gives 29440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1279989 + ... + 1280011.

It is an arithmetic number, because the mean of its divisors is an integer number (639639).

Almost surely, 2^29440000 is an apocalyptic number.

29440000 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 29440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38378340).

29440000 is an abundant number, since it is smaller than the sum of its proper divisors (47316680).

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

29440000 is an frugal number, since it uses more digits than its factorization.

29440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 30 counting only the distinct ones).

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

The square root of 29440000 is about 5425.8639865002. The cubic root of 29440000 is about 308.7777051745. Note that the first 4 decimals are identical.

Adding to 29440000 its reverse (4492), we get a palindrome (29444492).

The spelling of 29440000 in words is "twenty-nine million, four hundred forty thousand".