20144400 has 60 divisors (see below), whose sum is σ = 64533072. Its totient is φ = 5371520.

The previous prime is 20144387. The next prime is 20144417. The reversal of 20144400 is 444102.

It is a tau number, because it is divible by the number of its divisors (60).

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 20144400.

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, 7194 + ... + 9593.

Almost surely, 2^20144400 is an apocalyptic number.

20144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20144400 is an abundant number, since it is smaller than the sum of its proper divisors (44388672).

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

20144400 is a wasteful number, since it uses less digits than its factorization.

20144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16808 (or 16797 counting only the distinct ones).

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

The square root of 20144400 is about 4488.2513298611. The cubic root of 20144400 is about 272.0934655726.

Adding to 20144400 its reverse (444102), we get a palindrome (20588502).

The spelling of 20144400 in words is "twenty million, one hundred forty-four thousand, four hundred".