120000440 has 64 divisors (see below), whose sum is σ = 316128960. Its totient is φ = 40135680.

The previous prime is 120000403. The next prime is 120000449. The reversal of 120000440 is 44000021.

120000440 is a modest number, since divided by 440 gives 120 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6254 + ... + 16706.

It is an arithmetic number, because the mean of its divisors is an integer number (4939515).

Almost surely, 2^120000440 is an apocalyptic number.

120000440 is a gapful number since it is divisible by the number (10) 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 120000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158064480).

120000440 is an abundant number, since it is smaller than the sum of its proper divisors (196128520).

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

120000440 is a wasteful number, since it uses less digits than its factorization.

120000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512 (or 10508 counting only the distinct ones).

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

The square root of 120000440 is about 10954.4712332454. The cubic root of 120000440 is about 493.2430177172.

Adding to 120000440 its reverse (44000021), we get a palindrome (164000461).

The spelling of 120000440 in words is "one hundred twenty million, four hundred forty", and thus it is an aban number.