381145980 has 96 divisors (see below), whose sum is σ = 1104009984. Its totient is φ = 98187264.

The previous prime is 381145979. The next prime is 381145981. The reversal of 381145980 is 89541183.

It is an interprime number because it is at equal distance from previous prime (381145979) and next prime (381145981).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381145981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249499 + ... + 251021.

It is an arithmetic number, because the mean of its divisors is an integer number (11500104).

Almost surely, 2^381145980 is an apocalyptic number.

381145980 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 381145980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552004992).

381145980 is an abundant number, since it is smaller than the sum of its proper divisors (722864004).

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

381145980 is a wasteful number, since it uses less digits than its factorization.

381145980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 381145980 is about 19522.9603288026. The cubic root of 381145980 is about 725.0430287581.

The spelling of 381145980 in words is "three hundred eighty-one million, one hundred forty-five thousand, nine hundred eighty".