393948 has 36 divisors (see below), whose sum is σ = 1030848. Its totient is φ = 126720.

The previous prime is 393947. The next prime is 393961. The reversal of 393948 is 849393.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393948.

It is not an unprimeable number, because it can be changed into a prime (393947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 940 + ... + 1292.

2³⁹³⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515424).

393948 is an abundant number, since it is smaller than the sum of its proper divisors (636900).

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

393948 is a wasteful number, since it uses less digits than its factorization.

393948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 389 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 393948 is about 627.6527702480. The cubic root of 393948 is about 73.3071439999.

The spelling of 393948 in words is "three hundred ninety-three thousand, nine hundred forty-eight".