14382000 has 240 divisors, whose sum is σ = 54317952. Its totient is φ = 3532800.

The previous prime is 14381989. The next prime is 14382001. The reversal of 14382000 is 28341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14382001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305977 + ... + 306023.

Almost surely, 2^14382000 is an apocalyptic number.

14382000 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 14382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27158976).

14382000 is an abundant number, since it is smaller than the sum of its proper divisors (39935952).

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

14382000 is a wasteful number, since it uses less digits than its factorization.

14382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14382000 is about 3792.3607423345. The cubic root of 14382000 is about 243.1866675228.

The spelling of 14382000 in words is "fourteen million, three hundred eighty-two thousand".