396445666032 has 960 divisors, whose sum is σ = 1396316880000. Its totient is φ = 106553180160.

The previous prime is 396445666013. The next prime is 396445666051. The reversal of 396445666032 is 230666544693.

It is an interprime number because it is at equal distance from previous prime (396445666013) and next prime (396445666051).

It is a super-2 number, since 2×396445666032² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 396445666032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2660709094 + ... + 2660709242.

It is an arithmetic number, because the mean of its divisors is an integer number (1454496750).

Almost surely, 2^396445666032 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 396445666032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698158440000).

396445666032 is an abundant number, since it is smaller than the sum of its proper divisors (999871213968).

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

396445666032 is a wasteful number, since it uses less digits than its factorization.

396445666032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 396445666032 in words is "three hundred ninety-six billion, four hundred forty-five million, six hundred sixty-six thousand, thirty-two".