385400256 has 112 divisors (see below), whose sum is σ = 1110691200. Its totient is φ = 117476352.

The previous prime is 385400243. The next prime is 385400263. The reversal of 385400256 is 652004583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103971 + ... + 107613.

Almost surely, 2^385400256 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 385400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555345600).

385400256 is an abundant number, since it is smaller than the sum of its proper divisors (725290944).

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

385400256 is a wasteful number, since it uses less digits than its factorization.

385400256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 385400256 is about 19631.6136881307. The cubic root of 385400256 is about 727.7306494605.

The spelling of 385400256 in words is "three hundred eighty-five million, four hundred thousand, two hundred fifty-six".