363280 has 40 divisors (see below), whose sum is σ = 892800. Its totient is φ = 137088.

The previous prime is 363277. The next prime is 363313. The reversal of 363280 is 82363.

363280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 5.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1401 + ... + 1639.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2³⁶³²⁸⁰ 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 363280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400).

363280 is an abundant number, since it is smaller than the sum of its proper divisors (529520).

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

363280 is a wasteful number, since it uses less digits than its factorization.

363280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 363280 is about 602.7271356095. The cubic root of 363280 is about 71.3532615783.

The spelling of 363280 in words is "three hundred sixty-three thousand, two hundred eighty".