440400120 has 32 divisors (see below), whose sum is σ = 1321200720. Its totient is φ = 117440000.

The previous prime is 440400091. The next prime is 440400133. The reversal of 440400120 is 21004044.

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

It is a self number, because there is not a number n which added to its sum of digits gives 440400120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1834881 + ... + 1835120.

Almost surely, 2^440400120 is an apocalyptic number.

440400120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440400120 is an abundant number, since it is smaller than the sum of its proper divisors (880800600).

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

440400120 is a wasteful number, since it uses less digits than its factorization.

440400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670015 (or 3670011 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 440400120 is about 20985.7122824078. The cubic root of 440400120 is about 760.8209734145.

Adding to 440400120 its reverse (21004044), we get a palindrome (461404164).

The spelling of 440400120 in words is "four hundred forty million, four hundred thousand, one hundred twenty".