381243456 has 224 divisors, whose sum is σ = 1264066560. Its totient is φ = 111628800.

The previous prime is 381243439. The next prime is 381243503. The reversal of 381243456 is 654342183.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 381243456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588925 + ... + 589571.

Almost surely, 2^381243456 is an apocalyptic number.

381243456 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 381243456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632033280).

381243456 is an abundant number, since it is smaller than the sum of its proper divisors (882823104).

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

381243456 is a wasteful number, since it uses less digits than its factorization.

381243456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 694 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 381243456 is about 19525.4566143791. The cubic root of 381243456 is about 725.1048320863.

The spelling of 381243456 in words is "three hundred eighty-one million, two hundred forty-three thousand, four hundred fifty-six".