396000 has 144 divisors (see below), whose sum is σ = 1533168. Its totient is φ = 96000.

The previous prime is 395971. The next prime is 396001. The reversal of 396000 is 693.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396001) by changing a digit.

396000 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 23 ways as a sum of consecutive naturals, for example, 35995 + ... + 36005.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2³⁹⁶⁰⁰⁰ is an apocalyptic number.

396000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766584).

396000 is an abundant number, since it is smaller than the sum of its proper divisors (1137168).

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

396000 is a wasteful number, since it uses less digits than its factorization.

396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 396000 is about 629.2853089021. The cubic root of 396000 is about 73.4342046205.

Adding to 396000 its reverse (693), we get a palindrome (396693).

The spelling of 396000 in words is "three hundred ninety-six thousand".