29974152 has 64 divisors (see below), whose sum is σ = 84228480. Its totient is φ = 8819712.

The previous prime is 29974127. The next prime is 29974187. The reversal of 29974152 is 25147992.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 29974152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5088 + ... + 9264.

It is an arithmetic number, because the mean of its divisors is an integer number (1316070).

Almost surely, 2^29974152 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 29974152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42114240).

29974152 is an abundant number, since it is smaller than the sum of its proper divisors (54254328).

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

29974152 is a wasteful number, since it uses less digits than its factorization.

29974152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4218 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 29974152 is about 5474.8654777994. The cubic root of 29974152 is about 310.6339852359.

The spelling of 29974152 in words is "twenty-nine million, nine hundred seventy-four thousand, one hundred fifty-two".