380092500 has 150 divisors (see below), whose sum is σ = 1242310146. Its totient is φ = 101304000.

The previous prime is 380092459. The next prime is 380092507. The reversal of 380092500 is 5290083.

It can be written as a sum of positive squares in 5 ways, for example, as 125753796 + 254338704 = 11214^2 + 15948^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380092507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 201562 + ... + 203438.

Almost surely, 2^380092500 is an apocalyptic number.

380092500 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 380092500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621155073).

380092500 is an abundant number, since it is smaller than the sum of its proper divisors (862217646).

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

380092500 is a wasteful number, since it uses less digits than its factorization.

380092500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 380092500 is about 19495.9611201910. The cubic root of 380092500 is about 724.3744108016.

The spelling of 380092500 in words is "three hundred eighty million, ninety-two thousand, five hundred".