14429376 has 168 divisors, whose sum is σ = 46597824. Its totient is φ = 4239360.

The previous prime is 14429357. The next prime is 14429377. The reversal of 14429376 is 67392441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14429376.

It is not an unprimeable number, because it can be changed into a prime (14429377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306985 + ... + 307031.

It is an arithmetic number, because the mean of its divisors is an integer number (277368).

Almost surely, 2^14429376 is an apocalyptic number.

14429376 is a gapful number since it is divisible by the number (16) 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 14429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298912).

14429376 is an abundant number, since it is smaller than the sum of its proper divisors (32168448).

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

14429376 is a wasteful number, since it uses less digits than its factorization.

14429376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 14429376 is about 3798.6018480488. The cubic root of 14429376 is about 243.4534033481.

The spelling of 14429376 in words is "fourteen million, four hundred twenty-nine thousand, three hundred seventy-six".