29444140 has 72 divisors (see below), whose sum is σ = 71053920. Its totient is φ = 10241440.

The previous prime is 29444101. The next prime is 29444143. The reversal of 29444140 is 4144492.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29444099 and 29444108.

It is not an unprimeable number, because it can be changed into a prime (29444143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1280169 + ... + 1280191.

It is an arithmetic number, because the mean of its divisors is an integer number (986860).

Almost surely, 2^29444140 is an apocalyptic number.

29444140 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 29444140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35526960).

29444140 is an abundant number, since it is smaller than the sum of its proper divisors (41609780).

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

29444140 is a wasteful number, since it uses less digits than its factorization.

29444140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 29444140 is about 5426.2454791504. The cubic root of 29444140 is about 308.7921784510.

It can be divided in two parts, 29444 and 140, that added together give a square (29584 = 172²).

The spelling of 29444140 in words is "twenty-nine million, four hundred forty-four thousand, one hundred forty".