385201440 has 384 divisors, whose sum is σ = 1532563200. Its totient is φ = 89828352.

The previous prime is 385201433. The next prime is 385201451. The reversal of 385201440 is 44102583.

385201440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20273751 + ... + 20273769.

It is an arithmetic number, because the mean of its divisors is an integer number (3991050).

Almost surely, 2^385201440 is an apocalyptic number.

385201440 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 385201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766281600).

385201440 is an abundant number, since it is smaller than the sum of its proper divisors (1147361760).

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

385201440 is a wasteful number, since it uses less digits than its factorization.

385201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 42 counting only the distinct ones).

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

The square root of 385201440 is about 19626.5493655915. The cubic root of 385201440 is about 727.6054900700.

It can be divided in two parts, 385201 and 440, that added together give a square (385641 = 621²).

The spelling of 385201440 in words is "three hundred eighty-five million, two hundred one thousand, four hundred forty".