29332480 has 88 divisors (see below), whose sum is σ = 74723688. Its totient is φ = 11010048.

The previous prime is 29332477. The next prime is 29332481. The reversal of 29332480 is 8423392.

It can be written as a sum of positive squares in 4 ways, for example, as 3444736 + 25887744 = 1856^2 + 5088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29332481) 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 7 ways as a sum of consecutive naturals, for example, 86872 + ... + 87208.

Almost surely, 2^29332480 is an apocalyptic number.

29332480 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 29332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37361844).

29332480 is an abundant number, since it is smaller than the sum of its proper divisors (45391208).

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

29332480 is a wasteful number, since it uses less digits than its factorization.

29332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 29332480 is about 5415.9468239635. The cubic root of 29332480 is about 308.4013433290.

The spelling of 29332480 in words is "twenty-nine million, three hundred thirty-two thousand, four hundred eighty".