384926256 has 400 divisors, whose sum is σ = 1371245568. Its totient is φ = 102643200.

The previous prime is 384926249. The next prime is 384926279. The reversal of 384926256 is 652629483.

384926256 is a `hidden beast` number, since 384 + 9 + 262 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5745135 + ... + 5745201.

Almost surely, 2^384926256 is an apocalyptic number.

384926256 is a gapful number since it is divisible by the number (36) 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 384926256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685622784).

384926256 is an abundant number, since it is smaller than the sum of its proper divisors (986319312).

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

384926256 is a wasteful number, since it uses less digits than its factorization.

384926256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 384926256 is about 19619.5376092302. The cubic root of 384926256 is about 727.4321841345.

It can be divided in two parts, 38 and 4926256, that added together give a palindrome (4926294).

The spelling of 384926256 in words is "three hundred eighty-four million, nine hundred twenty-six thousand, two hundred fifty-six".