29447040 has 192 divisors, whose sum is σ = 109535760. Its totient is φ = 6709248.

The previous prime is 29447023. The next prime is 29447053. The reversal of 29447040 is 4074492.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29446989 and 29447007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93924 + ... + 94236.

Almost surely, 2^29447040 is an apocalyptic number.

29447040 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 29447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54767880).

29447040 is an abundant number, since it is smaller than the sum of its proper divisors (80088720).

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

29447040 is a wasteful number, since it uses less digits than its factorization.

29447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 29447040 is about 5426.5126923283. The cubic root of 29447040 is about 308.8023159285.

The spelling of 29447040 in words is "twenty-nine million, four hundred forty-seven thousand, forty".