440402120 has 128 divisors (see below), whose sum is σ = 1090022400. Its totient is φ = 159667200.

The previous prime is 440402111. The next prime is 440402129. The reversal of 440402120 is 21204044.

It is an interprime number because it is at equal distance from previous prime (440402111) and next prime (440402129).

It is not an unprimeable number, because it can be changed into a prime (440402129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330355 + ... + 1330685.

It is an arithmetic number, because the mean of its divisors is an integer number (8515800).

Almost surely, 2^440402120 is an apocalyptic number.

440402120 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 440402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545011200).

440402120 is an abundant number, since it is smaller than the sum of its proper divisors (649620280).

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

440402120 is a wasteful number, since it uses less digits than its factorization.

440402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 440402120 is about 20985.7599338218. The cubic root of 440402120 is about 760.8221251245.

Adding to 440402120 its reverse (21204044), we get a palindrome (461606164).

The spelling of 440402120 in words is "four hundred forty million, four hundred two thousand, one hundred twenty".