440114000 has 40 divisors (see below), whose sum is σ = 1064200488. Its totient is φ = 176044800.

The previous prime is 440113997. The next prime is 440114009. The reversal of 440114000 is 411044.

It can be written as a sum of positive squares in 4 ways, for example, as 456976 + 439657024 = 676^2 + 20968^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440114009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108029 + ... + 112028.

Almost surely, 2^440114000 is an apocalyptic number.

440114000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440114000 is an abundant number, since it is smaller than the sum of its proper divisors (624086488).

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

440114000 is a wasteful number, since it uses less digits than its factorization.

440114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220080 (or 220064 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 440114000 is about 20978.8941557938. The cubic root of 440114000 is about 760.6561738408.

Adding to 440114000 its reverse (411044), we get a palindrome (440525044).

The spelling of 440114000 in words is "four hundred forty million, one hundred fourteen thousand".