396300928000 has 176 divisors, whose sum is σ = 1007355785904. Its totient is φ = 155526758400.

The previous prime is 396300927991. The next prime is 396300928019. The reversal of 396300928000 is 829003693.

It can be written as a sum of positive squares in 8 ways, for example, as 23869014016 + 372431913984 = 154496^2 + 610272^2 .

It is a super-2 number, since 2×396300928000² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6754792 + ... + 6813208.

Almost surely, 2^396300928000 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 396300928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503677892952).

396300928000 is an abundant number, since it is smaller than the sum of its proper divisors (611054857904).

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

396300928000 is an equidigital number, since it uses as much as digits as its factorization.

396300928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58505 (or 58477 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The spelling of 396300928000 in words is "three hundred ninety-six billion, three hundred million, nine hundred twenty-eight thousand".