381548160 has 192 divisors, whose sum is σ = 1505911680. Its totient is φ = 87201792.

The previous prime is 381548147. The next prime is 381548161. The reversal of 381548160 is 61845183.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (381548161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35589 + ... + 45051.

It is an arithmetic number, because the mean of its divisors is an integer number (7843290).

Almost surely, 2^381548160 is an apocalyptic number.

381548160 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 381548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752955840).

381548160 is an abundant number, since it is smaller than the sum of its proper divisors (1124363520).

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

381548160 is a wasteful number, since it uses less digits than its factorization.

381548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9495 (or 9480 counting only the distinct ones).

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

The square root of 381548160 is about 19533.2577928005. The cubic root of 381548160 is about 725.2979575932.

The spelling of 381548160 in words is "three hundred eighty-one million, five hundred forty-eight thousand, one hundred sixty".