396480 has 112 divisors (see below), whose sum is σ = 1463040. Its totient is φ = 89088.

The previous prime is 396479. The next prime is 396509. The reversal of 396480 is 84693.

396480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6691 + ... + 6749.

2³⁹⁶⁴⁸⁰ is an apocalyptic number.

396480 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 396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731520).

396480 is an abundant number, since it is smaller than the sum of its proper divisors (1066560).

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

396480 is a wasteful number, since it uses less digits than its factorization.

396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 396480 is about 629.6665784366. Note that the first 3 decimals coincide. The cubic root of 396480 is about 73.4638630262.

The spelling of 396480 in words is "three hundred ninety-six thousand, four hundred eighty".