396042048 has 140 divisors (see below), whose sum is σ = 1182582852. Its totient is φ = 131051520.

The previous prime is 396042041. The next prime is 396042071. The reversal of 396042048 is 840240693.

It is a happy number.

396042048 is a `hidden beast` number, since 3 + 9 + 604 + 2 + 0 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142850304 + 253191744 = 11952^2 + 15912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396042041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1249186 + ... + 1249502.

Almost surely, 2^396042048 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 396042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591291426).

396042048 is an abundant number, since it is smaller than the sum of its proper divisors (786540804).

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

396042048 is a wasteful number, since it uses less digits than its factorization.

396042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 396042048 is about 19900.8052098401. The cubic root of 396042048 is about 734.3680365430.

The spelling of 396042048 in words is "three hundred ninety-six million, forty-two thousand, forty-eight".