14830400 has 168 divisors, whose sum is σ = 42330624. Its totient is φ = 5068800.

The previous prime is 14830391. The next prime is 14830421. The reversal of 14830400 is 403841.

It is a hoax number, since the sum of its digits (20) 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 (20).

It is a congruent number.

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, 478385 + ... + 478415.

It is an arithmetic number, because the mean of its divisors is an integer number (251968).

Almost surely, 2^14830400 is an apocalyptic number.

14830400 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 14830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21165312).

14830400 is an abundant number, since it is smaller than the sum of its proper divisors (27500224).

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

14830400 is a wasteful number, since it uses less digits than its factorization.

14830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 14830400 is about 3851.0258373581. The cubic root of 14830400 is about 245.6881941957.

The spelling of 14830400 in words is "fourteen million, eight hundred thirty thousand, four hundred".