14734800 has 90 divisors (see below), whose sum is σ = 51146342. Its totient is φ = 3928320.

The previous prime is 14734799. The next prime is 14734807. The reversal of 14734800 is 843741.

It can be written as a sum of positive squares in 3 ways, for example, as 627264 + 14107536 = 792^2 + 3756^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×14734800² = 434228662080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14734807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1554 + ... + 5646.

Almost surely, 2^14734800 is an apocalyptic number.

14734800 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 14734800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25573171).

14734800 is an abundant number, since it is smaller than the sum of its proper divisors (36411542).

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

14734800 is a wasteful number, since it uses less digits than its factorization.

14734800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 14734800 is about 3838.5934924136. The cubic root of 14734800 is about 245.1591358194.

The spelling of 14734800 in words is "fourteen million, seven hundred thirty-four thousand, eight hundred".