14700400 has 120 divisors (see below), whose sum is σ = 41653584. Its totient is φ = 4915200.

The previous prime is 14700391. The next prime is 14700401. The reversal of 14700400 is 400741.

It is a happy number.

It is a super-2 number, since 2×14700400² = 432203520320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14700401) 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 23 ways as a sum of consecutive naturals, for example, 57072 + ... + 57328.

Almost surely, 2^14700400 is an apocalyptic number.

14700400 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 14700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20826792).

14700400 is an abundant number, since it is smaller than the sum of its proper divisors (26953184).

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

14700400 is a wasteful number, since it uses less digits than its factorization.

14700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 14700400 is about 3834.1100662344. The cubic root of 14700400 is about 244.9682035648.

The spelling of 14700400 in words is "fourteen million, seven hundred thousand, four hundred".