14400904 has 48 divisors (see below), whose sum is σ = 33273180. Its totient is φ = 5806080.

The previous prime is 14400899. The next prime is 14400923. The reversal of 14400904 is 40900441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13764100 + 636804 = 3710^2 + 798^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5584 + ... + 7744.

Almost surely, 2^14400904 is an apocalyptic number.

14400904 is a gapful number since it is divisible by the number (14) 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 14400904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16636590).

14400904 is an abundant number, since it is smaller than the sum of its proper divisors (18872276).

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

14400904 is a wasteful number, since it uses less digits than its factorization.

14400904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 14400904 is about 3794.8523027912. The cubic root of 14400904 is about 243.2931707447.

The spelling of 14400904 in words is "fourteen million, four hundred thousand, nine hundred four".