120385440 has 240 divisors, whose sum is σ = 485920512. Its totient is φ = 27495936.

The previous prime is 120385403. The next prime is 120385477. The reversal of 120385440 is 44583021.

It is an interprime number because it is at equal distance from previous prime (120385403) and next prime (120385477).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90057 + ... + 91383.

Almost surely, 2^120385440 is an apocalyptic number.

120385440 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 120385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242960256).

120385440 is an abundant number, since it is smaller than the sum of its proper divisors (365535072).

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

120385440 is a wasteful number, since it uses less digits than its factorization.

120385440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 120385440 is about 10972.0298942356. The cubic root of 120385440 is about 493.7699486679.

The spelling of 120385440 in words is "one hundred twenty million, three hundred eighty-five thousand, four hundred forty".