14748000 has 96 divisors (see below), whose sum is σ = 48353760. Its totient is φ = 3929600.

The previous prime is 14747983. The next prime is 14748001. The reversal of 14748000 is 84741.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14748001) 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, 11386 + ... + 12614.

It is an arithmetic number, because the mean of its divisors is an integer number (503685).

Almost surely, 2^14748000 is an apocalyptic number.

14748000 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 14748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24176880).

14748000 is an abundant number, since it is smaller than the sum of its proper divisors (33605760).

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

14748000 is a wasteful number, since it uses less digits than its factorization.

14748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 14748000 is about 3840.3124872854. The cubic root of 14748000 is about 245.2323216274.

The spelling of 14748000 in words is "fourteen million, seven hundred forty-eight thousand".