381590000 has 100 divisors (see below), whose sum is σ = 1008146040. Its totient is φ = 138720000.

The previous prime is 381589963. The next prime is 381590003. The reversal of 381590000 is 95183.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×381590000² = 291221856200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381590003) 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 19 ways as a sum of consecutive naturals, for example, 108266 + ... + 111734.

Almost surely, 2^381590000 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 381590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504073020).

381590000 is an abundant number, since it is smaller than the sum of its proper divisors (626556040).

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

381590000 is a wasteful number, since it uses less digits than its factorization.

381590000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 381590000 is about 19534.3287573441. The cubic root of 381590000 is about 725.3244683203.

The spelling of 381590000 in words is "three hundred eighty-one million, five hundred ninety thousand".