14629408 has 48 divisors (see below), whose sum is σ = 30046464. Its totient is φ = 7006720.

The previous prime is 14629397. The next prime is 14629409. The reversal of 14629408 is 80492641.

14629408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14629409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106716 + ... + 106852.

It is an arithmetic number, because the mean of its divisors is an integer number (625968).

Almost surely, 2^14629408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14629408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15023232).

14629408 is an abundant number, since it is smaller than the sum of its proper divisors (15417056).

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

14629408 is a wasteful number, since it uses less digits than its factorization.

14629408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 14629408 is about 3824.8409117243. The cubic root of 14629408 is about 244.5732289857.

The spelling of 14629408 in words is "fourteen million, six hundred twenty-nine thousand, four hundred eight".