381320500 has 192 divisors, whose sum is σ = 990662400. Its totient is φ = 126720000.

The previous prime is 381320497. The next prime is 381320503. The reversal of 381320500 is 5023183.

It is an interprime number because it is at equal distance from previous prime (381320497) and next prime (381320503).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381320503) 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 63 ways as a sum of consecutive naturals, for example, 4284456 + ... + 4284544.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^381320500 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 381320500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

381320500 is an abundant number, since it is smaller than the sum of its proper divisors (609341900).

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

381320500 is a wasteful number, since it uses less digits than its factorization.

381320500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 381320500 is about 19527.4294263223. The cubic root of 381320500 is about 725.1536733303.

Adding to 381320500 its reverse (5023183), we get a palindrome (386343683).

The spelling of 381320500 in words is "three hundred eighty-one million, three hundred twenty thousand, five hundred".