14674464 has 144 divisors (see below), whose sum is σ = 49533120. Its totient is φ = 4032000.

The previous prime is 14674447. The next prime is 14674477. The reversal of 14674464 is 46447641.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58339 + ... + 58589.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 2^14674464 is an apocalyptic number.

14674464 is a gapful number since it is divisible by the number (14) 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 14674464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

14674464 is an abundant number, since it is smaller than the sum of its proper divisors (34858656).

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

14674464 is a wasteful number, since it uses less digits than its factorization.

14674464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 14674464 is about 3830.7263018911. The cubic root of 14674464 is about 244.8240524874.

The spelling of 14674464 in words is "fourteen million, six hundred seventy-four thousand, four hundred sixty-four".