14464032 has 48 divisors (see below), whose sum is σ = 41422752. Its totient is φ = 4382720.

The previous prime is 14464019. The next prime is 14464057. The reversal of 14464032 is 23046441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14463993 and 14464011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5793 + ... + 7904.

It is an arithmetic number, because the mean of its divisors is an integer number (862974).

Almost surely, 2^14464032 is an apocalyptic number.

14464032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14464032 is an abundant number, since it is smaller than the sum of its proper divisors (26958720).

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

14464032 is a wasteful number, since it uses less digits than its factorization.

14464032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13721 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 14464032 is about 3803.1607907108. The cubic root of 14464032 is about 243.6481536381.

The spelling of 14464032 in words is "fourteen million, four hundred sixty-four thousand, thirty-two".