381892500 has 180 divisors, whose sum is σ = 1316803488. Its totient is φ = 92520000.

The previous prime is 381892481. The next prime is 381892541. The reversal of 381892500 is 5298183.

381892500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 246729 + ... + 248271.

Almost surely, 2^381892500 is an apocalyptic number.

381892500 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 381892500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658401744).

381892500 is an abundant number, since it is smaller than the sum of its proper divisors (934910988).

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

381892500 is a wasteful number, since it uses less digits than its factorization.

381892500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 381892500 is about 19542.0700029449. The cubic root of 381892500 is about 725.5160812198.

The spelling of 381892500 in words is "three hundred eighty-one million, eight hundred ninety-two thousand, five hundred".