396820 has 12 divisors (see below), whose sum is σ = 833364. Its totient is φ = 158720.

The previous prime is 396733. The next prime is 396833. The reversal of 396820 is 28693.

It can be written as a sum of positive squares in 2 ways, for example, as 51076 + 345744 = 226^2 + 588^2 .

It is a super-2 number, since 2×396820² = 314932224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

396820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 9901 + ... + 9940.

It is an arithmetic number, because the mean of its divisors is an integer number (69447).

2³⁹⁶⁸²⁰ is an apocalyptic number.

It is an amenable number.

396820 is an abundant number, since it is smaller than the sum of its proper divisors (436544).

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

396820 is a wasteful number, since it uses less digits than its factorization.

396820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19850 (or 19848 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 396820 is about 629.9365047368. The cubic root of 396820 is about 73.4848565837.

It can be divided in two parts, 39 and 6820, that added together give a cube (6859 = 19³).

The spelling of 396820 in words is "three hundred ninety-six thousand, eight hundred twenty".