29480640 has 224 divisors, whose sum is σ = 110605824. Its totient is φ = 6512640.

The previous prime is 29480639. The next prime is 29480651. The reversal of 29480640 is 4608492.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 275467 + ... + 275573.

It is an arithmetic number, because the mean of its divisors is an integer number (493776).

Almost surely, 2^29480640 is an apocalyptic number.

29480640 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 29480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55302912).

29480640 is an abundant number, since it is smaller than the sum of its proper divisors (81125184).

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

29480640 is a wasteful number, since it uses less digits than its factorization.

29480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 29480640 is about 5429.6077206369. The cubic root of 29480640 is about 308.9197223408.

The spelling of 29480640 in words is "twenty-nine million, four hundred eighty thousand, six hundred forty".