361500 has 48 divisors (see below), whose sum is σ = 1057056. Its totient is φ = 96000.

The previous prime is 361499. The next prime is 361507. The reversal of 361500 is 5163.

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 361500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1380 + ... + 1620.

It is an arithmetic number, because the mean of its divisors is an integer number (22022).

2³⁶¹⁵⁰⁰ is an apocalyptic number.

361500 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 361500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528528).

361500 is an abundant number, since it is smaller than the sum of its proper divisors (695556).

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

361500 is a wasteful number, since it uses less digits than its factorization.

361500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 361500 is about 601.2487006223. The cubic root of 361500 is about 71.2365317725.

Adding to 361500 its reverse (5163), we get a palindrome (366663).

It can be divided in two parts, 361 and 500, that added together give a triangular number (861 = T₄₁).

The spelling of 361500 in words is "three hundred sixty-one thousand, five hundred".