29850444 has 120 divisors (see below), whose sum is σ = 88697840. Its totient is φ = 8678016.

The previous prime is 29850437. The next prime is 29850473. The reversal of 29850444 is 44405892.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29850399 and 29850408.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79842 + ... + 80214.

Almost surely, 2^29850444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29850444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44348920).

29850444 is an abundant number, since it is smaller than the sum of its proper divisors (58847396).

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

29850444 is a wasteful number, since it uses less digits than its factorization.

29850444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 29850444 is about 5463.5559848875. Note that the first 3 decimals coincide. The cubic root of 29850444 is about 310.2060510101.

The spelling of 29850444 in words is "twenty-nine million, eight hundred fifty thousand, four hundred forty-four".