393280 has 28 divisors (see below), whose sum is σ = 937260. Its totient is φ = 157184.

The previous prime is 393271. The next prime is 393287. The reversal of 393280 is 82393.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 295936 + 97344 = 544^2 + 312^2 .

It is not an unprimeable number, because it can be changed into a prime (393287) by changing a digit.

393280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 295 + ... + 934.

2³⁹³²⁸⁰ is an apocalyptic number.

It is an amenable number.

393280 is an abundant number, since it is smaller than the sum of its proper divisors (543980).

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

393280 is a wasteful number, since it uses less digits than its factorization.

393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 393280 is about 627.1204031125. The cubic root of 393280 is about 73.2656860100.

The spelling of 393280 in words is "three hundred ninety-three thousand, two hundred eighty".