29408929 has 27 divisors (see below), whose sum is σ = 35563801. Its totient is φ = 24295040.

The previous prime is 29408909. The next prime is 29408957. The reversal of 29408929 is 92980492.

It is a happy number.

The square root of 29408929 is 5423.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2907025 + 26501904 = 1705^2 + 5148^2 .

It is not a de Polignac number, because 29408929 - 2¹⁵ = 29376161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29408909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1014087 + ... + 1014115.

Almost surely, 2^29408929 is an apocalyptic number.

29408929 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

29408929 is the 5423-rd square number.

29408929 is the 2712-nd centered octagonal number.

It is an amenable number.

29408929 is a deficient number, since it is larger than the sum of its proper divisors (6154872).

29408929 is a wasteful number, since it uses less digits than its factorization.

29408929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The cubic root of 29408929 is about 308.6690388561.

The spelling of 29408929 in words is "twenty-nine million, four hundred eight thousand, nine hundred twenty-nine".