4422800 has 30 divisors (see below), whose sum is σ = 10626738. Its totient is φ = 1768960.

The previous prime is 4422799. The next prime is 4422809. The reversal of 4422800 is 82244.

It can be written as a sum of positive squares in 3 ways, for example, as 29584 + 4393216 = 172^2 + 2096^2 .

It is a super-2 number, since 2×4422800² = 39122319680000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4422809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5129 + ... + 5928.

Almost surely, 2^4422800 is an apocalyptic number.

4422800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4422800 is an abundant number, since it is smaller than the sum of its proper divisors (6203938).

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

4422800 is a wasteful number, since it uses less digits than its factorization.

4422800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11075 (or 11064 counting only the distinct ones).

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

The square root of 4422800 is about 2103.0454108269. The cubic root of 4422800 is about 164.1468048955.

The spelling of 4422800 in words is "four million, four hundred twenty-two thousand, eight hundred".