359280 has 60 divisors (see below), whose sum is σ = 1209000. Its totient is φ = 95616.

The previous prime is 359279. The next prime is 359291. The reversal of 359280 is 82953.

It is a tau number, because it is divible by the number of its divisors (60).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471 + ... + 969.

It is an arithmetic number, because the mean of its divisors is an integer number (20150).

2³⁵⁹²⁸⁰ is an apocalyptic number.

359280 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 359280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604500).

359280 is an abundant number, since it is smaller than the sum of its proper divisors (849720).

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

359280 is a wasteful number, since it uses less digits than its factorization.

359280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 509 counting only the distinct ones).

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

The square root of 359280 is about 599.3996996996. The cubic root of 359280 is about 71.0904091937.

The spelling of 359280 in words is "three hundred fifty-nine thousand, two hundred eighty".