14978432 has 64 divisors (see below), whose sum is σ = 34720800. Its totient is φ = 6303744.

The previous prime is 14978423. The next prime is 14978437. The reversal of 14978432 is 23487941.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14978437) 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, 65294 + ... + 65522.

Almost surely, 2^14978432 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 14978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17360400).

14978432 is an abundant number, since it is smaller than the sum of its proper divisors (19742368).

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

14978432 is an equidigital number, since it uses as much as digits as its factorization.

14978432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 14978432 is about 3870.1979277551. The cubic root of 14978432 is about 246.5029479300.

The spelling of 14978432 in words is "fourteen million, nine hundred seventy-eight thousand, four hundred thirty-two".