393346880 has 28 divisors (see below), whose sum is σ = 936658020. Its totient is φ = 157338624.

The previous prime is 393346831. The next prime is 393346903. The reversal of 393346880 is 88643393.

It can be written as a sum of positive squares in 2 ways, for example, as 241367296 + 151979584 = 15536^2 + 12328^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 614285 + ... + 614924.

Almost surely, 2^393346880 is an apocalyptic number.

It is an amenable number.

393346880 is an abundant number, since it is smaller than the sum of its proper divisors (543311140).

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

393346880 is a wasteful number, since it uses less digits than its factorization.

393346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229226 (or 1229216 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The square root of 393346880 is about 19832.9745625814. The cubic root of 393346880 is about 732.6983888782.

The spelling of 393346880 in words is "three hundred ninety-three million, three hundred forty-six thousand, eight hundred eighty".