440605000 has 80 divisors (see below), whose sum is σ = 1126326960. Its totient is φ = 160200000.

The previous prime is 440604977. The next prime is 440605001. The reversal of 440605000 is 506044.

It is a super-3 number, since 3×440605000³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (440605001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50995 + ... + 59005.

It is an arithmetic number, because the mean of its divisors is an integer number (14079087).

Almost surely, 2^440605000 is an apocalyptic number.

440605000 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 440605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563163480).

440605000 is an abundant number, since it is smaller than the sum of its proper divisors (685721960).

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

440605000 is a wasteful number, since it uses less digits than its factorization.

440605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 440605000 is about 20990.5931312100. The cubic root of 440605000 is about 760.9389364730.

The spelling of 440605000 in words is "four hundred forty million, six hundred five thousand".