14404000 has 96 divisors (see below), whose sum is σ = 38250576. Its totient is φ = 5299200.

The previous prime is 14403973. The next prime is 14404021. The reversal of 14404000 is 40441.

It is a happy number.

14404000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 535824 + 13868176 = 732^2 + 3724^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 51862 + ... + 52138.

Almost surely, 2^14404000 is an apocalyptic number.

14404000 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 14404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19125288).

14404000 is an abundant number, since it is smaller than the sum of its proper divisors (23846576).

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

14404000 is a wasteful number, since it uses less digits than its factorization.

14404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 14404000 is about 3795.2602018834. The cubic root of 14404000 is about 243.3106044115.

Adding to 14404000 its reverse (40441), we get a palindrome (14444441).

It can be divided in two parts, 1440 and 4000, that multiplied together give a square (5760000 = 2400²).

The spelling of 14404000 in words is "fourteen million, four hundred four thousand".