396048 has 40 divisors (see below), whose sum is σ = 1055488. Its totient is φ = 127872.

The previous prime is 396043. The next prime is 396061. The reversal of 396048 is 840693.

It is not an unprimeable number, because it can be changed into a prime (396041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1665 + ... + 1887.

2³⁹⁶⁰⁴⁸ 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 396048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527744).

396048 is an abundant number, since it is smaller than the sum of its proper divisors (659440).

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

396048 is a wasteful number, since it uses less digits than its factorization.

396048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

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

The square root of 396048 is about 629.3234462500. The cubic root of 396048 is about 73.4371715392.

The spelling of 396048 in words is "three hundred ninety-six thousand, forty-eight".