440021000 has 64 divisors (see below), whose sum is σ = 1083888000. Its totient is φ = 166737600.

The previous prime is 440020969. The next prime is 440021011. The reversal of 440021000 is 120044.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7421 + ... + 30579.

It is an arithmetic number, because the mean of its divisors is an integer number (16935750).

Almost surely, 2^440021000 is an apocalyptic number.

440021000 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 440021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541944000).

440021000 is an abundant number, since it is smaller than the sum of its proper divisors (643867000).

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

440021000 is a wasteful number, since it uses less digits than its factorization.

440021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23199 (or 23185 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 440021000 is about 20976.6775252898. The cubic root of 440021000 is about 760.6025922631.

Adding to 440021000 its reverse (120044), we get a palindrome (440141044).

The spelling of 440021000 in words is "four hundred forty million, twenty-one thousand".