393368352 has 48 divisors (see below), whose sum is σ = 1112025600. Its totient is φ = 121036032.

The previous prime is 393368347. The next prime is 393368359. The reversal of 393368352 is 253863393.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (393368359) 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, 156352 + ... + 158847.

It is an arithmetic number, because the mean of its divisors is an integer number (23167200).

Almost surely, 2^393368352 is an apocalyptic number.

393368352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

393368352 is an abundant number, since it is smaller than the sum of its proper divisors (718657248).

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

393368352 is a wasteful number, since it uses less digits than its factorization.

393368352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315225 (or 315217 counting only the distinct ones).

The product of its digits is 349920, while the sum is 42.

The square root of 393368352 is about 19833.5158759107. The cubic root of 393368352 is about 732.7117208034.

The spelling of 393368352 in words is "three hundred ninety-three million, three hundred sixty-eight thousand, three hundred fifty-two".