440470000 has 100 divisors (see below), whose sum is σ = 1129588416. Its totient is φ = 165760000.

The previous prime is 440469923. The next prime is 440470001. The reversal of 440470000 is 74044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 440470000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440470001) 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, 168705 + ... + 171295.

Almost surely, 2^440470000 is an apocalyptic number.

440470000 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 440470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564794208).

440470000 is an abundant number, since it is smaller than the sum of its proper divisors (689118416).

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

440470000 is a wasteful number, since it uses less digits than its factorization.

440470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 440470000 is about 20987.3771586637. The cubic root of 440470000 is about 760.8612120940.

The spelling of 440470000 in words is "four hundred forty million, four hundred seventy thousand".