20442800 has 120 divisors (see below), whose sum is σ = 57660000. Its totient is φ = 6961920.

The previous prime is 20442769. The next prime is 20442827. The reversal of 20442800 is 824402.

It is a super-3 number, since 3×20442800³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137126 + ... + 137274.

It is an arithmetic number, because the mean of its divisors is an integer number (480500).

Almost surely, 2^20442800 is an apocalyptic number.

20442800 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 20442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28830000).

20442800 is an abundant number, since it is smaller than the sum of its proper divisors (37217200).

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

20442800 is a wasteful number, since it uses less digits than its factorization.

20442800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 20442800 is about 4521.3714733474. The cubic root of 20442800 is about 273.4303971488.

The spelling of 20442800 in words is "twenty million, four hundred forty-two thousand, eight hundred".