385440120 has 160 divisors (see below), whose sum is σ = 1395313920. Its totient is φ = 94867200.

The previous prime is 385440109. The next prime is 385440157. The reversal of 385440120 is 21044583.

385440120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×385440120² = 297128172211228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37545 + ... + 46695.

It is an arithmetic number, because the mean of its divisors is an integer number (8720712).

Almost surely, 2^385440120 is an apocalyptic number.

385440120 is a gapful number since it is divisible by the number (30) 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 385440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697656960).

385440120 is an abundant number, since it is smaller than the sum of its proper divisors (1009873800).

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

385440120 is a wasteful number, since it uses less digits than its factorization.

385440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9187 (or 9174 counting only the distinct ones).

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

The square root of 385440120 is about 19632.6289630299. The cubic root of 385440120 is about 727.7557396137.

The spelling of 385440120 in words is "three hundred eighty-five million, four hundred forty thousand, one hundred twenty".