396312 has 48 divisors (see below), whose sum is σ = 1155960. Its totient is φ = 112896.

The previous prime is 396311. The next prime is 396323. The reversal of 396312 is 213693.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

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 396312.

It is not an unprimeable number, because it can be changed into a prime (396311) 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, 1008 + ... + 1344.

2³⁹⁶³¹² 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 396312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577980).

396312 is an abundant number, since it is smaller than the sum of its proper divisors (759648).

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

396312 is a wasteful number, since it uses less digits than its factorization.

396312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 396312 is about 629.5331603657. The cubic root of 396312 is about 73.4534853085.

The spelling of 396312 in words is "three hundred ninety-six thousand, three hundred twelve".