440820000 has 360 divisors, whose sum is σ = 1637475840. Its totient is φ = 112320000.

The previous prime is 440819993. The next prime is 440820053. The reversal of 440820000 is 28044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5579961 + ... + 5580039.

It is an arithmetic number, because the mean of its divisors is an integer number (4548544).

Almost surely, 2^440820000 is an apocalyptic number.

440820000 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 440820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818737920).

440820000 is an abundant number, since it is smaller than the sum of its proper divisors (1196655840).

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

440820000 is a wasteful number, since it uses less digits than its factorization.

440820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 440820000 is about 20995.7138483072. The cubic root of 440820000 is about 761.0626869735.

Adding to 440820000 its reverse (28044), we get a palindrome (440848044).

The spelling of 440820000 in words is "four hundred forty million, eight hundred twenty thousand".