393282880 has 56 divisors (see below), whose sum is σ = 939701448. Its totient is φ = 156776448.

The previous prime is 393282871. The next prime is 393282899. The reversal of 393282880 is 88282393.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 390773824 = 1584^2 + 19768^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 99502 + ... + 103378.

It is an arithmetic number, because the mean of its divisors is an integer number (16780383).

Almost surely, 2^393282880 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 393282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469850724).

393282880 is an abundant number, since it is smaller than the sum of its proper divisors (546418568).

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

393282880 is a wasteful number, since it uses less digits than its factorization.

393282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 393282880 is about 19831.3610223807. The cubic root of 393282880 is about 732.6586485178.

The spelling of 393282880 in words is "three hundred ninety-three million, two hundred eighty-two thousand, eight hundred eighty".