393976 has 32 divisors (see below), whose sum is σ = 834480. Its totient is φ = 174240.

The previous prime is 393961. The next prime is 393977. The reversal of 393976 is 679393.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10630 + ... + 10666.

2³⁹³⁹⁷⁶ 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 393976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417240).

393976 is an abundant number, since it is smaller than the sum of its proper divisors (440504).

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

393976 is a wasteful number, since it uses less digits than its factorization.

393976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

The product of its digits is 30618, while the sum is 37.

The square root of 393976 is about 627.6750751782. The cubic root of 393976 is about 73.3088807362.

393976 divided by its sum of digits (37) gives a cube (10648 = 22³).

It can be divided in two parts, 393 and 976, that added together give a square (1369 = 37²).

The spelling of 393976 in words is "three hundred ninety-three thousand, nine hundred seventy-six".