381256956 has 60 divisors (see below), whose sum is σ = 998816280. Its totient is φ = 126813600.

The previous prime is 381256937. The next prime is 381256957. The reversal of 381256956 is 659652183.

381256956 is a `hidden beast` number, since 3 + 81 + 2 + 569 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381256957) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 199606 + ... + 201506.

It is an arithmetic number, because the mean of its divisors is an integer number (16646938).

Almost surely, 2^381256956 is an apocalyptic number.

381256956 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 381256956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499408140).

381256956 is an abundant number, since it is smaller than the sum of its proper divisors (617559324).

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

381256956 is a wasteful number, since it uses less digits than its factorization.

381256956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2525 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 381256956 is about 19525.8023138615. The cubic root of 381256956 is about 725.1133907466.

The spelling of 381256956 in words is "three hundred eighty-one million, two hundred fifty-six thousand, nine hundred fifty-six".