20326400 has 72 divisors (see below), whose sum is σ = 50524110. Its totient is φ = 8110080.

The previous prime is 20326381. The next prime is 20326433. The reversal of 20326400 is 462302.

20326400 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 16516096 + 3810304 = 4064^2 + 1952^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51002 + ... + 51398.

Almost surely, 2^20326400 is an apocalyptic number.

20326400 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 20326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25262055).

20326400 is an abundant number, since it is smaller than the sum of its proper divisors (30197710).

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

20326400 is an equidigital number, since it uses as much as digits as its factorization.

20326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 20326400 is about 4508.4808971537. The cubic root of 20326400 is about 272.9104439529.

Adding to 20326400 its reverse (462302), we get a palindrome (20788702).

The spelling of 20326400 in words is "twenty million, three hundred twenty-six thousand, four hundred".