396084444048 has 280 divisors, whose sum is σ = 1230895389528. Its totient is φ = 122974765056.

The previous prime is 396084444047. The next prime is 396084444071. The reversal of 396084444048 is 840444480693.

It can be written as a sum of positive squares in 4 ways, for example, as 213266628864 + 182817815184 = 461808^2 + 427572^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 396084443985 and 396084444003.

It is not an unprimeable number, because it can be changed into a prime (396084444047) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 19223640 + ... + 19244232.

Almost surely, 2^396084444048 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 396084444048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615447694764).

396084444048 is an abundant number, since it is smaller than the sum of its proper divisors (834810945480).

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

396084444048 is a wasteful number, since it uses less digits than its factorization.

396084444048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20733 (or 20712 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 396084444048 in words is "three hundred ninety-six billion, eighty-four million, four hundred forty-four thousand, forty-eight".