395056000 has 64 divisors (see below), whose sum is σ = 982247760. Its totient is φ = 158016000.

The previous prime is 395055989. The next prime is 395056087. The reversal of 395056000 is 650593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 395056000.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3655 + ... + 28345.

Almost surely, 2^395056000 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 395056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491123880).

395056000 is an abundant number, since it is smaller than the sum of its proper divisors (587191760).

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

395056000 is an equidigital number, since it uses as much as digits as its factorization.

395056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24720 (or 24698 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 395056000 is about 19876.0156973172. The cubic root of 395056000 is about 733.7580643339.

The spelling of 395056000 in words is "three hundred ninety-five million, fifty-six thousand".