396360 has 64 divisors (see below), whose sum is σ = 1324800. Its totient is φ = 105408.

The previous prime is 396353. The next prime is 396373. The reversal of 396360 is 63693.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

396360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (20700).

2³⁹⁶³⁶⁰ is an apocalyptic number.

396360 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 396360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662400).

396360 is an abundant number, since it is smaller than the sum of its proper divisors (928440).

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

396360 is a wasteful number, since it uses less digits than its factorization.

396360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 396360 is about 629.5712826996. The cubic root of 396360 is about 73.4564506699.

The spelling of 396360 in words is "three hundred ninety-six thousand, three hundred sixty".