395394048 has 264 divisors, whose sum is σ = 1359076992. Its totient is φ = 112472064.

The previous prime is 395394029. The next prime is 395394049. The reversal of 395394048 is 840493593.

It is a happy number.

395394048 is a `hidden beast` number, since 39 + 539 + 40 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 395393994 and 395394012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395394049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1741711 + ... + 1741937.

Almost surely, 2^395394048 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 395394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679538496).

395394048 is an abundant number, since it is smaller than the sum of its proper divisors (963682944).

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

395394048 is an equidigital number, since it uses as much as digits as its factorization.

395394048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 395394048 is about 19884.5177965170. The cubic root of 395394048 is about 733.9672960455.

The spelling of 395394048 in words is "three hundred ninety-five million, three hundred ninety-four thousand, forty-eight".