14678400 has 192 divisors, whose sum is σ = 53121600. Its totient is φ = 3532800.

The previous prime is 14678399. The next prime is 14678413. The reversal of 14678400 is 487641.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 105531 + ... + 105669.

It is an arithmetic number, because the mean of its divisors is an integer number (276675).

Almost surely, 2^14678400 is an apocalyptic number.

14678400 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 14678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560800).

14678400 is an abundant number, since it is smaller than the sum of its proper divisors (38443200).

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

14678400 is a wasteful number, since it uses less digits than its factorization.

14678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 14678400 is about 3831.2400081436. The cubic root of 14678400 is about 244.8459395180.

The spelling of 14678400 in words is "fourteen million, six hundred seventy-eight thousand, four hundred".