395332848000 has 768 divisors, whose sum is σ = 1507235558400. Its totient is φ = 99021312000.

The previous prime is 395332847999. The next prime is 395332848007. The reversal of 395332848000 is 848233593.

395332848000 is a `hidden beast` number, since 39 + 533 + 2 + 8 + 4 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×395332848000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395332848007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 358415449 + ... + 358416551.

It is an arithmetic number, because the mean of its divisors is an integer number (1962546300).

Almost surely, 2^395332848000 is an apocalyptic number.

395332848000 is a gapful number since it is divisible by the number (30) 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 395332848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753617779200).

395332848000 is an abundant number, since it is smaller than the sum of its proper divisors (1111902710400).

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

395332848000 is a wasteful number, since it uses less digits than its factorization.

395332848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 395332848000 in words is "three hundred ninety-five billion, three hundred thirty-two million, eight hundred forty-eight thousand".