14409000 has 96 divisors (see below), whose sum is σ = 48732840. Its totient is φ = 3840000.

The previous prime is 14408939. The next prime is 14409029. The reversal of 14409000 is 90441.

It can be written as a sum of positive squares in 4 ways, for example, as 9400356 + 5008644 = 3066^2 + 2238^2 .

It is a hoax number, since the sum of its digits (18) 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8200 + ... + 9800.

Almost surely, 2^14409000 is an apocalyptic number.

14409000 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 14409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24366420).

14409000 is an abundant number, since it is smaller than the sum of its proper divisors (34323840).

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

14409000 is a wasteful number, since it uses less digits than its factorization.

14409000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14409000 is about 3795.9188610928. The cubic root of 14409000 is about 243.3387542839.

Adding to 14409000 its reverse (90441), we get a palindrome (14499441).

It can be divided in two parts, 1440 and 9000, that multiplied together give a 4-th power (12960000 = 60⁴).

The spelling of 14409000 in words is "fourteen million, four hundred nine thousand".