14754000 has 80 divisors (see below), whose sum is σ = 47586240. Its totient is φ = 3932800.

The previous prime is 14753989. The next prime is 14754001. The reversal of 14754000 is 45741.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14754001) 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, 4771 + ... + 7229.

It is an arithmetic number, because the mean of its divisors is an integer number (594828).

Almost surely, 2^14754000 is an apocalyptic number.

14754000 is a gapful number since it is divisible by the number (10) 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 14754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23793120).

14754000 is an abundant number, since it is smaller than the sum of its proper divisors (32832240).

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

14754000 is a wasteful number, since it uses less digits than its factorization.

14754000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 14754000 is about 3841.0935942775. The cubic root of 14754000 is about 245.2655734680.

Adding to 14754000 its reverse (45741), we get a palindrome (14799741).

The spelling of 14754000 in words is "fourteen million, seven hundred fifty-four thousand".