381605040 has 320 divisors, whose sum is σ = 1399910400. Its totient is φ = 95385600.

The previous prime is 381605039. The next prime is 381605041. The reversal of 381605040 is 40506183.

381605040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (381605039) and next prime (381605041).

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

It is a junction number, because it is equal to n+sod(n) for n = 381604995 and 381605013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381605041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2745291 + ... + 2745429.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^381605040 is an apocalyptic number.

381605040 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 381605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699955200).

381605040 is an abundant number, since it is smaller than the sum of its proper divisors (1018305360).

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

381605040 is a wasteful number, since it uses less digits than its factorization.

381605040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

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

The square root of 381605040 is about 19534.7137168682. The cubic root of 381605040 is about 725.3339975154. Note that the first 3 decimals are identical.

The spelling of 381605040 in words is "three hundred eighty-one million, six hundred five thousand, forty".