395428608 has 144 divisors (see below), whose sum is σ = 1231305600. Its totient is φ = 124830720.

The previous prime is 395428577. The next prime is 395428613. The reversal of 395428608 is 806824593.

395428608 is a `hidden beast` number, since 39 + 5 + 4 + 2 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 129823 + ... + 132833.

Almost surely, 2^395428608 is an apocalyptic number.

395428608 is a gapful number since it is divisible by the number (38) 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 395428608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615652800).

395428608 is an abundant number, since it is smaller than the sum of its proper divisors (835876992).

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

395428608 is a wasteful number, since it uses less digits than its factorization.

395428608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 395428608 is about 19885.3867953329. The cubic root of 395428608 is about 733.9886799206.

The spelling of 395428608 in words is "three hundred ninety-five million, four hundred twenty-eight thousand, six hundred eight".