381892540 has 48 divisors (see below), whose sum is σ = 831120192. Its totient is φ = 147280896.

The previous prime is 381892481. The next prime is 381892541. The reversal of 381892540 is 45298183.

It is a junction number, because it is equal to n+sod(n) for n = 381892493 and 381892502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381892541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81337 + ... + 85903.

It is an arithmetic number, because the mean of its divisors is an integer number (17315004).

Almost surely, 2^381892540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381892540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415560096).

381892540 is an abundant number, since it is smaller than the sum of its proper divisors (449227652).

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

381892540 is a wasteful number, since it uses less digits than its factorization.

381892540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 381892540 is about 19542.0710263779. The cubic root of 381892540 is about 725.5161065503.

The spelling of 381892540 in words is "three hundred eighty-one million, eight hundred ninety-two thousand, five hundred forty".