381171840 has 256 divisors, whose sum is σ = 1410048000. Its totient is φ = 85782528.

The previous prime is 381171839. The next prime is 381171883. The reversal of 381171840 is 48171183.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061581 + ... + 1061939.

It is an arithmetic number, because the mean of its divisors is an integer number (5508000).

Almost surely, 2^381171840 is an apocalyptic number.

381171840 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 381171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705024000).

381171840 is an abundant number, since it is smaller than the sum of its proper divisors (1028876160).

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

381171840 is a wasteful number, since it uses less digits than its factorization.

381171840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 381171840 is about 19523.6226146686. The cubic root of 381171840 is about 725.0594259652.

The spelling of 381171840 in words is "three hundred eighty-one million, one hundred seventy-one thousand, eight hundred forty".