29480472 has 96 divisors (see below), whose sum is σ = 94442400. Its totient is φ = 8128512.

The previous prime is 29480461. The next prime is 29480483. The reversal of 29480472 is 27408492.

It is an interprime number because it is at equal distance from previous prime (29480461) and next prime (29480483).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13608 + ... + 15624.

It is an arithmetic number, because the mean of its divisors is an integer number (983775).

Almost surely, 2^29480472 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 29480472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47221200).

29480472 is an abundant number, since it is smaller than the sum of its proper divisors (64961928).

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

29480472 is a wasteful number, since it uses less digits than its factorization.

29480472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 29480472 is about 5429.5922498840. The cubic root of 29480472 is about 308.9191355307.

The spelling of 29480472 in words is "twenty-nine million, four hundred eighty thousand, four hundred seventy-two".