381300 has 72 divisors (see below), whose sum is σ = 1166592. Its totient is φ = 96000.

The previous prime is 381289. The next prime is 381301. The reversal of 381300 is 3183.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 381300.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 381300.

It is not an unprimeable number, because it can be changed into a prime (381301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9280 + ... + 9320.

2³⁸¹³⁰⁰ is an apocalyptic number.

381300 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 381300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583296).

381300 is an abundant number, since it is smaller than the sum of its proper divisors (785292).

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

381300 is a wasteful number, since it uses less digits than its factorization.

381300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 381300 is about 617.4949392505. The cubic root of 381300 is about 72.5140678211.

Adding to 381300 its reverse (3183), we get a palindrome (384483).

The spelling of 381300 in words is "three hundred eighty-one thousand, three hundred".