20414400 has 84 divisors (see below), whose sum is σ = 66991992. Its totient is φ = 5442560.

The previous prime is 20414393. The next prime is 20414411. The reversal of 20414400 is 441402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20414400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2674 + ... + 6926.

Almost surely, 2^20414400 is an apocalyptic number.

20414400 is a gapful number since it is divisible by the number (20) 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 20414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33495996).

20414400 is an abundant number, since it is smaller than the sum of its proper divisors (46577592).

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

20414400 is a wasteful number, since it uses less digits than its factorization.

20414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 20414400 is about 4518.2297418347. The cubic root of 20414400 is about 273.3037181213.

Adding to 20414400 its reverse (441402), we get a palindrome (20855802).

It can be divided in two parts, 2041 and 4400, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 20414400 in words is "twenty million, four hundred fourteen thousand, four hundred".