393468 has 12 divisors (see below), whose sum is σ = 918120. Its totient is φ = 131152.

The previous prime is 393451. The next prime is 393473. The reversal of 393468 is 864393.

It is a tau number, because it is divible by the number of its divisors (12).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

393468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16383 + ... + 16406.

It is an arithmetic number, because the mean of its divisors is an integer number (76510).

393468 is a Friedman number, since it can be written as 6*(33+9+4^8), using all its digits and the basic arithmetic operations.

2³⁹³⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

393468 is an abundant number, since it is smaller than the sum of its proper divisors (524652).

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

393468 is a wasteful number, since it uses less digits than its factorization.

393468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32796 (or 32794 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 393468 is about 627.2702766751. The cubic root of 393468 is about 73.2773585714.

It can be divided in two parts, 393 and 468, that added together give a triangular number (861 = T₄₁).

The spelling of 393468 in words is "three hundred ninety-three thousand, four hundred sixty-eight".