4022800 has 60 divisors (see below), whose sum is σ = 9859860. Its totient is φ = 1576960.

The previous prime is 4022783. The next prime is 4022803. The reversal of 4022800 is 82204.

It can be written as a sum of positive squares in 6 ways, for example, as 1411344 + 2611456 = 1188^2 + 1616^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4022803) 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, 35544 + ... + 35656.

It is an arithmetic number, because the mean of its divisors is an integer number (164331).

Almost surely, 2^4022800 is an apocalyptic number.

4022800 is a gapful number since it is divisible by the number (40) 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 4022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929930).

4022800 is an abundant number, since it is smaller than the sum of its proper divisors (5837060).

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

4022800 is a wasteful number, since it uses less digits than its factorization.

4022800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4022800 is about 2005.6919005670. The cubic root of 4022800 is about 159.0411401527.

The spelling of 4022800 in words is "four million, twenty-two thousand, eight hundred".