385123440 has 320 divisors, whose sum is σ = 1397160576. Its totient is φ = 86900736.

The previous prime is 385123327. The next prime is 385123441. The reversal of 385123440 is 44321583.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 385123398 and 385123407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385123441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2811052 + ... + 2811188.

Almost surely, 2^385123440 is an apocalyptic number.

385123440 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 385123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698580288).

385123440 is an abundant number, since it is smaller than the sum of its proper divisors (1012037136).

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

385123440 is a wasteful number, since it uses less digits than its factorization.

385123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 385123440 is about 19624.5621607209. The cubic root of 385123440 is about 727.5563754567.

The spelling of 385123440 in words is "three hundred eighty-five million, one hundred twenty-three thousand, four hundred forty".