440240000 has 80 divisors (see below), whose sum is σ = 1096149120. Its totient is φ = 176064000.

The previous prime is 440239999. The next prime is 440240011. The reversal of 440240000 is 42044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×440240000² = 387622515200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77249 + ... + 82751.

It is an arithmetic number, because the mean of its divisors is an integer number (13701864).

Almost surely, 2^440240000 is an apocalyptic number.

440240000 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 440240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548074560).

440240000 is an abundant number, since it is smaller than the sum of its proper divisors (655909120).

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

440240000 is an frugal number, since it uses more digits than its factorization.

440240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 440240000 is about 20981.8969590454. The cubic root of 440240000 is about 760.7287561968.

Adding to 440240000 its reverse (42044), we get a palindrome (440282044).

The spelling of 440240000 in words is "four hundred forty million, two hundred forty thousand".