440106000 has 80 divisors (see below), whose sum is σ = 1418921088. Its totient is φ = 117360000.

The previous prime is 440105971. The next prime is 440106071. The reversal of 440106000 is 601044.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 30676 + ... + 42675.

Almost surely, 2^440106000 is an apocalyptic number.

440106000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440106000 is an abundant number, since it is smaller than the sum of its proper divisors (978815088).

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

440106000 is a wasteful number, since it uses less digits than its factorization.

440106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73377 (or 73361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 440106000 is about 20978.7034871081. The cubic root of 440106000 is about 760.6515649695.

Adding to 440106000 its reverse (601044), we get a palindrome (440707044).

The spelling of 440106000 in words is "four hundred forty million, one hundred six thousand".