16414400 has 42 divisors (see below), whose sum is σ = 40393620. Its totient is φ = 6565120.

The previous prime is 16414393. The next prime is 16414403. The reversal of 16414400 is 441461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (16414403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3530 + ... + 6729.

Almost surely, 2^16414400 is an apocalyptic number.

16414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16414400 is an abundant number, since it is smaller than the sum of its proper divisors (23979220).

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

16414400 is a wasteful number, since it uses less digits than its factorization.

16414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10281 (or 10266 counting only the distinct ones).

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

The square root of 16414400 is about 4051.4688694349. The cubic root of 16414400 is about 254.1411578210.

Adding to 16414400 its reverse (441461), we get a palindrome (16855861).

The spelling of 16414400 in words is "sixteen million, four hundred fourteen thousand, four hundred".