385940256 has 96 divisors (see below), whose sum is σ = 1155264768. Its totient is φ = 111759360.

The previous prime is 385940251. The next prime is 385940263. The reversal of 385940256 is 652049583.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (385940251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12121 + ... + 30311.

It is an arithmetic number, because the mean of its divisors is an integer number (12034008).

Almost surely, 2^385940256 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 385940256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577632384).

385940256 is an abundant number, since it is smaller than the sum of its proper divisors (769324512).

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

385940256 is a wasteful number, since it uses less digits than its factorization.

385940256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18234 (or 18226 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 385940256 is about 19645.3622007842. The cubic root of 385940256 is about 728.0703751956.

The spelling of 385940256 in words is "three hundred eighty-five million, nine hundred forty thousand, two hundred fifty-six".