14429472 has 96 divisors (see below), whose sum is σ = 40279680. Its totient is φ = 4515840.

The previous prime is 14429461. The next prime is 14429473. The reversal of 14429472 is 27492441.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (14429473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197628 + ... + 197700.

It is an arithmetic number, because the mean of its divisors is an integer number (419580).

Almost surely, 2^14429472 is an apocalyptic number.

14429472 is a gapful number since it is divisible by the number (12) 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 14429472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139840).

14429472 is an abundant number, since it is smaller than the sum of its proper divisors (25850208).

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

14429472 is a wasteful number, since it uses less digits than its factorization.

14429472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 14429472 is about 3798.6144842561. The cubic root of 14429472 is about 243.4539432531.

The spelling of 14429472 in words is "fourteen million, four hundred twenty-nine thousand, four hundred seventy-two".