363330 has 48 divisors (see below), whose sum is σ = 1033344. Its totient is φ = 87840.

The previous prime is 363329. The next prime is 363343. The reversal of 363330 is 33363.

363330 is a `hidden beast` number, since 3 + 633 + 30 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807 + ... + 1173.

It is an arithmetic number, because the mean of its divisors is an integer number (21528).

2³⁶³³³⁰ is an apocalyptic number.

363330 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 363330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516672).

363330 is an abundant number, since it is smaller than the sum of its proper divisors (670014).

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

363330 is a wasteful number, since it uses less digits than its factorization.

363330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 363330 is about 602.7686123215. The cubic root of 363330 is about 71.3565349940.

Adding to 363330 its reverse (33363), we get a palindrome (396693).

It can be divided in two parts, 3633 and 30, that added together give a palindrome (3663).

The spelling of 363330 in words is "three hundred sixty-three thousand, three hundred thirty".