393347920 has 40 divisors (see below), whose sum is σ = 1045183104. Its totient is φ = 134861952.

The previous prime is 393347897. The next prime is 393347939. The reversal of 393347920 is 29743393.

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

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350644 + ... + 351763.

Almost surely, 2^393347920 is an apocalyptic number.

It is an amenable number.

393347920 is an abundant number, since it is smaller than the sum of its proper divisors (651835184).

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

393347920 is a wasteful number, since it uses less digits than its factorization.

393347920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702427 (or 702421 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 40.

The square root of 393347920 is about 19833.0007815257. Note that the first 3 decimals coincide. The cubic root of 393347920 is about 732.6990346235.

The spelling of 393347920 in words is "three hundred ninety-three million, three hundred forty-seven thousand, nine hundred twenty".