363150 has 48 divisors (see below), whose sum is σ = 1004400. Its totient is φ = 96480.

The previous prime is 363149. The next prime is 363151. The reversal of 363150 is 51363.

It is an interprime number because it is at equal distance from previous prime (363149) and next prime (363151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363151) 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, 1216 + ... + 1484.

It is an arithmetic number, because the mean of its divisors is an integer number (20925).

2³⁶³¹⁵⁰ is an apocalyptic number.

363150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 363150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502200).

363150 is an abundant number, since it is smaller than the sum of its proper divisors (641250).

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

363150 is a wasteful number, since it uses less digits than its factorization.

363150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 363150 is about 602.6192827980. The cubic root of 363150 is about 71.3447492914.

The spelling of 363150 in words is "three hundred sixty-three thousand, one hundred fifty".