381142080 has 336 divisors, whose sum is σ = 1463552064. Its totient is φ = 90255360.

The previous prime is 381142061. The next prime is 381142081. The reversal of 381142080 is 80241183.

It is not an unprimeable number, because it can be changed into a prime (381142081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1678927 + ... + 1679153.

Almost surely, 2^381142080 is an apocalyptic number.

381142080 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 381142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731776032).

381142080 is an abundant number, since it is smaller than the sum of its proper divisors (1082409984).

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

381142080 is a wasteful number, since it uses less digits than its factorization.

381142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 381142080 is about 19522.8604461539. The cubic root of 381142080 is about 725.0405557971.

The spelling of 381142080 in words is "three hundred eighty-one million, one hundred forty-two thousand, eighty".