381853440 has 360 divisors, whose sum is σ = 1424586240. Its totient is φ = 97542144.

The previous prime is 381853399. The next prime is 381853471. The reversal of 381853440 is 44358183.

381853440 is a `hidden beast` number, since 3 + 81 + 8 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 381853395 and 381853404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3006657 + ... + 3006783.

It is an arithmetic number, because the mean of its divisors is an integer number (3957184).

Almost surely, 2^381853440 is an apocalyptic number.

381853440 is a gapful number since it is divisible by the number (30) 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 381853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712293120).

381853440 is an abundant number, since it is smaller than the sum of its proper divisors (1042732800).

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

381853440 is a wasteful number, since it uses less digits than its factorization.

381853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 381853440 is about 19541.0705950314. The cubic root of 381853440 is about 725.4913450926.

The spelling of 381853440 in words is "three hundred eighty-one million, eight hundred fifty-three thousand, four hundred forty".