14634464 has 48 divisors (see below), whose sum is σ = 31385088. Its totient is φ = 6676992.

The previous prime is 14634461. The next prime is 14634481. The reversal of 14634464 is 46443641.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14634464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14634461) 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, 52694 + ... + 52970.

It is an arithmetic number, because the mean of its divisors is an integer number (653856).

Almost surely, 2^14634464 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 14634464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15692544).

14634464 is an abundant number, since it is smaller than the sum of its proper divisors (16750624).

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

14634464 is a wasteful number, since it uses less digits than its factorization.

14634464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 14634464 is about 3825.5017971503. The cubic root of 14634464 is about 244.6014010033.

The spelling of 14634464 in words is "fourteen million, six hundred thirty-four thousand, four hundred sixty-four".