361280 has 28 divisors (see below), whose sum is σ = 861060. Its totient is φ = 144384.

The previous prime is 361279. The next prime is 361313. The reversal of 361280 is 82163.

It can be written as a sum of positive squares in 2 ways, for example, as 73984 + 287296 = 272^2 + 536^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 245 + ... + 884.

2³⁶¹²⁸⁰ is an apocalyptic number.

It is an amenable number.

361280 is an abundant number, since it is smaller than the sum of its proper divisors (499780).

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

361280 is a wasteful number, since it uses less digits than its factorization.

361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 361280 is about 601.0657202004. The cubic root of 361280 is about 71.2220779069. Note that the first 3 decimals are identical.

The spelling of 361280 in words is "three hundred sixty-one thousand, two hundred eighty".