396872 has 32 divisors (see below), whose sum is σ = 897600. Its totient is φ = 160704.

The previous prime is 396871. The next prime is 396881. The reversal of 396872 is 278693.

It is not an unprimeable number, because it can be changed into a prime (396871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (28050).

2³⁹⁶⁸⁷² 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 396872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448800).

396872 is an abundant number, since it is smaller than the sum of its proper divisors (500728).

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

396872 is a wasteful number, since it uses less digits than its factorization.

396872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 396872 is about 629.9777773858. The cubic root of 396872 is about 73.4880663057.

The spelling of 396872 in words is "three hundred ninety-six thousand, eight hundred seventy-two".