14384500 has 48 divisors (see below), whose sum is σ = 33847632. Its totient is φ = 5308800.

The previous prime is 14384477. The next prime is 14384537. The reversal of 14384500 is 548341.

It can be written as a sum of positive squares in 8 ways, for example, as 2729104 + 11655396 = 1652^2 + 3414^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5394 + ... + 7606.

It is an arithmetic number, because the mean of its divisors is an integer number (705159).

Almost surely, 2^14384500 is an apocalyptic number.

14384500 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 14384500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16923816).

14384500 is an abundant number, since it is smaller than the sum of its proper divisors (19463132).

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

14384500 is a wasteful number, since it uses less digits than its factorization.

14384500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 14384500 is about 3792.6903380055. The cubic root of 14384500 is about 243.2007576226.

It can be divided in two parts, 14384 and 500, that added together give a square (14884 = 122²).

The spelling of 14384500 in words is "fourteen million, three hundred eighty-four thousand, five hundred".