20344400 has 60 divisors (see below), whose sum is σ = 49322364. Its totient is φ = 8064000.

The previous prime is 20344369. The next prime is 20344403. The reversal of 20344400 is 444302.

It can be written as a sum of positive squares in 6 ways, for example, as 2972176 + 17372224 = 1724^2 + 4168^2 .

It is a super-2 number, since 2×20344400² = 827789222720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20344403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72260 + ... + 72540.

Almost surely, 2^20344400 is an apocalyptic number.

20344400 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 20344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24661182).

20344400 is an abundant number, since it is smaller than the sum of its proper divisors (28977964).

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

20344400 is a wasteful number, since it uses less digits than its factorization.

20344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 20344400 is about 4510.4766932110. The cubic root of 20344400 is about 272.9909786050.

Adding to 20344400 its reverse (444302), we get a palindrome (20788702).

The spelling of 20344400 in words is "twenty million, three hundred forty-four thousand, four hundred".