395928000 has 560 divisors, whose sum is σ = 1610953344. Its totient is φ = 95385600.

The previous prime is 395927971. The next prime is 395928007. The reversal of 395928000 is 829593.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395928007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8423977 + ... + 8424023.

Almost surely, 2^395928000 is an apocalyptic number.

395928000 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 395928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805476672).

395928000 is an abundant number, since it is smaller than the sum of its proper divisors (1215025344).

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

395928000 is a wasteful number, since it uses less digits than its factorization.

395928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 395928000 is about 19897.9395918271. The cubic root of 395928000 is about 734.2975379289.

The spelling of 395928000 in words is "three hundred ninety-five million, nine hundred twenty-eight thousand".