29470032 has 60 divisors (see below), whose sum is σ = 85331220. Its totient is φ = 9483264.

The previous prime is 29470013. The next prime is 29470033. The reversal of 29470032 is 23007492.

It can be written as a sum of positive squares in 2 ways, for example, as 25160256 + 4309776 = 5016^2 + 2076^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29469978 and 29470005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29470033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 648 + ... + 7704.

It is an arithmetic number, because the mean of its divisors is an integer number (1422187).

Almost surely, 2^29470032 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 29470032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42665610).

29470032 is an abundant number, since it is smaller than the sum of its proper divisors (55861188).

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

29470032 is a wasteful number, since it uses less digits than its factorization.

29470032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7100 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 29470032 is about 5428.6307665930. The cubic root of 29470032 is about 308.8826650997.

The spelling of 29470032 in words is "twenty-nine million, four hundred seventy thousand, thirty-two".