440022000 has 320 divisors, whose sum is σ = 1587755520. Its totient is φ = 103936000.

The previous prime is 440021957. The next prime is 440022047. The reversal of 440022000 is 220044.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3893944 + ... + 3894056.

It is an arithmetic number, because the mean of its divisors is an integer number (4961736).

Almost surely, 2^440022000 is an apocalyptic number.

440022000 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 440022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

440022000 is an abundant number, since it is smaller than the sum of its proper divisors (1147733520).

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

440022000 is a wasteful number, since it uses less digits than its factorization.

440022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 440022000 is about 20976.7013612722. The cubic root of 440022000 is about 760.6031684492.

Adding to 440022000 its reverse (220044), we get a palindrome (440242044).

It can be divided in two parts, 4 and 40022000, that added together give a palindrome (40022004).

The spelling of 440022000 in words is "four hundred forty million, twenty-two thousand".