381456 has 40 divisors (see below), whose sum is σ = 1096160. Its totient is φ = 127008.

The previous prime is 381443. The next prime is 381461. The reversal of 381456 is 654183.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10 + ... + 873.

It is an arithmetic number, because the mean of its divisors is an integer number (27404).

2³⁸¹⁴⁵⁶ is an apocalyptic number.

381456 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 381456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548080).

381456 is an abundant number, since it is smaller than the sum of its proper divisors (714704).

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

381456 is a wasteful number, since it uses less digits than its factorization.

381456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 888 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 381456 is about 617.6212431580. The cubic root of 381456 is about 72.5239556191.

The spelling of 381456 in words is "three hundred eighty-one thousand, four hundred fifty-six".