393391120 has 40 divisors (see below), whose sum is σ = 927529920. Its totient is φ = 155137920.

The previous prime is 393391109. The next prime is 393391121. The reversal of 393391120 is 21193393.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (393391121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28950 + ... + 40309.

It is an arithmetic number, because the mean of its divisors is an integer number (23188248).

Almost surely, 2^393391120 is an apocalyptic number.

It is an amenable number.

393391120 is an abundant number, since it is smaller than the sum of its proper divisors (534138800).

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

393391120 is a wasteful number, since it uses less digits than its factorization.

393391120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69343 (or 69337 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 31.

The square root of 393391120 is about 19834.0898455160. The cubic root of 393391120 is about 732.7258568827.

The spelling of 393391120 in words is "three hundred ninety-three million, three hundred ninety-one thousand, one hundred twenty".