381401856 has 216 divisors, whose sum is σ = 1219654800. Its totient is φ = 113664000.

The previous prime is 381401771. The next prime is 381401861. The reversal of 381401856 is 658104183.

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 381401856.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2559670 + ... + 2559818.

It is an arithmetic number, because the mean of its divisors is an integer number (5646550).

Almost surely, 2^381401856 is an apocalyptic number.

381401856 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 381401856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609827400).

381401856 is an abundant number, since it is smaller than the sum of its proper divisors (838252944).

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

381401856 is a wasteful number, since it uses less digits than its factorization.

381401856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 381401856 is about 19529.5124363103. The cubic root of 381401856 is about 725.2052409810.

The spelling of 381401856 in words is "three hundred eighty-one million, four hundred one thousand, eight hundred fifty-six".