29480880 has 160 divisors (see below), whose sum is σ = 107493120. Its totient is φ = 6589440.

The previous prime is 29480863. The next prime is 29480881. The reversal of 29480880 is 8808492.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (29480881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33891 + ... + 34749.

It is an arithmetic number, because the mean of its divisors is an integer number (671832).

Almost surely, 2^29480880 is an apocalyptic number.

29480880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29480880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53746560).

29480880 is an abundant number, since it is smaller than the sum of its proper divisors (78012240).

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

29480880 is a wasteful number, since it uses less digits than its factorization.

29480880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 29480880 is about 5429.6298216361. The cubic root of 29480880 is about 308.9205606371.

The spelling of 29480880 in words is "twenty-nine million, four hundred eighty thousand, eight hundred eighty".