29471440 has 40 divisors (see below), whose sum is σ = 69046920. Its totient is φ = 11698176.

The previous prime is 29471423. The next prime is 29471443. The reversal of 29471440 is 4417492.

It can be written as a sum of positive squares in 4 ways, for example, as 138384 + 29333056 = 372^2 + 5416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29471443) 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, 9616 + ... + 12304.

It is an arithmetic number, because the mean of its divisors is an integer number (1726173).

Almost surely, 2^29471440 is an apocalyptic number.

29471440 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 29471440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34523460).

29471440 is an abundant number, since it is smaller than the sum of its proper divisors (39575480).

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

29471440 is a wasteful number, since it uses less digits than its factorization.

29471440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 29471440 is about 5428.7604478371. The cubic root of 29471440 is about 308.8875842197.

The spelling of 29471440 in words is "twenty-nine million, four hundred seventy-one thousand, four hundred forty".