20448400 has 120 divisors (see below), whose sum is σ = 57506240. Its totient is φ = 6842880.

The previous prime is 20448377. The next prime is 20448401. The reversal of 20448400 is 484402.

It is not an unprimeable number, because it can be changed into a prime (20448401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 187546 + ... + 187654.

Almost surely, 2^20448400 is an apocalyptic number.

20448400 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 20448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28753120).

20448400 is an abundant number, since it is smaller than the sum of its proper divisors (37057840).

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

20448400 is a wasteful number, since it uses less digits than its factorization.

20448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 20448400 is about 4521.9907120648. The cubic root of 20448400 is about 273.4553622617.

The spelling of 20448400 in words is "twenty million, four hundred forty-eight thousand, four hundred".