29982414 has 96 divisors (see below), whose sum is σ = 77746176. Its totient is φ = 7620480.

The previous prime is 29982367. The next prime is 29982431. The reversal of 29982414 is 41428992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236019 + ... + 236145.

It is an arithmetic number, because the mean of its divisors is an integer number (809856).

Almost surely, 2^29982414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29982414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38873088).

29982414 is an abundant number, since it is smaller than the sum of its proper divisors (47763762).

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

29982414 is a wasteful number, since it uses less digits than its factorization.

29982414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 223 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 29982414 is about 5475.6199648990. The cubic root of 29982414 is about 310.6625234046.

The spelling of 29982414 in words is "twenty-nine million, nine hundred eighty-two thousand, four hundred fourteen".