22800440 has 64 divisors (see below), whose sum is σ = 55792800. Its totient is φ = 8335872.

The previous prime is 22800433. The next prime is 22800493. The reversal of 22800440 is 4400822.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84626 + ... + 84894.

Almost surely, 2^22800440 is an apocalyptic number.

22800440 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 22800440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27896400).

22800440 is an abundant number, since it is smaller than the sum of its proper divisors (32992360).

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

22800440 is a wasteful number, since it uses less digits than its factorization.

22800440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

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

The square root of 22800440 is about 4774.9806282330. The cubic root of 22800440 is about 283.5618118619.

The spelling of 22800440 in words is "twenty-two million, eight hundred thousand, four hundred forty".