396385456896 has 576 divisors, whose sum is σ = 1394391290880. Its totient is φ = 110854656000.

The previous prime is 396385456849. The next prime is 396385456903. The reversal of 396385456896 is 698654583693.

396385456896 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 8 + 54 + 568 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80059221 + ... + 80064171.

Almost surely, 2^396385456896 is an apocalyptic number.

396385456896 is a gapful number since it is divisible by the number (36) 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 396385456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697195645440).

396385456896 is an abundant number, since it is smaller than the sum of its proper divisors (998005833984).

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

396385456896 is an equidigital number, since it uses as much as digits as its factorization.

396385456896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 4980 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 72.

The spelling of 396385456896 in words is "three hundred ninety-six billion, three hundred eighty-five million, four hundred fifty-six thousand, eight hundred ninety-six".