14768400 has 120 divisors (see below), whose sum is σ = 48957184. Its totient is φ = 3801600.

The previous prime is 14768389. The next prime is 14768401. The reversal of 14768400 is 486741.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (14768401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37002 + ... + 37398.

Almost surely, 2^14768400 is an apocalyptic number.

14768400 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 14768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24478592).

14768400 is an abundant number, since it is smaller than the sum of its proper divisors (34188784).

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

14768400 is a wasteful number, since it uses less digits than its factorization.

14768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

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

The square root of 14768400 is about 3842.9676032983. The cubic root of 14768400 is about 245.3453411209.

The spelling of 14768400 in words is "fourteen million, seven hundred sixty-eight thousand, four hundred".