440604000 has 144 divisors (see below), whose sum is σ = 1563831360. Its totient is φ = 117484800.

The previous prime is 440603981. The next prime is 440604013. The reversal of 440604000 is 406044.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29881 + ... + 42119.

It is an arithmetic number, because the mean of its divisors is an integer number (10859940).

Almost surely, 2^440604000 is an apocalyptic number.

440604000 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 440604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781915680).

440604000 is an abundant number, since it is smaller than the sum of its proper divisors (1123227360).

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

440604000 is a wasteful number, since it uses less digits than its factorization.

440604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12270 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 440604000 is about 20990.5693110025. The cubic root of 440604000 is about 760.9383607952.

The spelling of 440604000 in words is "four hundred forty million, six hundred four thousand".