385869440 has 128 divisors (see below), whose sum is σ = 1024488000. Its totient is φ = 137789440.

The previous prime is 385869437. The next prime is 385869443. The reversal of 385869440 is 44968583.

It is an interprime number because it is at equal distance from previous prime (385869437) and next prime (385869443).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (385869443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 414896 + ... + 415824.

Almost surely, 2^385869440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512244000).

385869440 is an abundant number, since it is smaller than the sum of its proper divisors (638618560).

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

385869440 is a wasteful number, since it uses less digits than its factorization.

385869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The square root of 385869440 is about 19643.5597588624. The cubic root of 385869440 is about 728.0258413723.

The spelling of 385869440 in words is "three hundred eighty-five million, eight hundred sixty-nine thousand, four hundred forty".