395480448 has 256 divisors, whose sum is σ = 1298419200. Its totient is φ = 117504000.

The previous prime is 395480447. The next prime is 395480467. The reversal of 395480448 is 844084593.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395480443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3839565 + ... + 3839667.

It is an arithmetic number, because the mean of its divisors is an integer number (5071950).

Almost surely, 2^395480448 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 395480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649209600).

395480448 is an abundant number, since it is smaller than the sum of its proper divisors (902938752).

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

395480448 is a wasteful number, since it uses less digits than its factorization.

395480448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 395480448 is about 19886.6902223573. The cubic root of 395480448 is about 734.0207533971.

The spelling of 395480448 in words is "three hundred ninety-five million, four hundred eighty thousand, four hundred forty-eight".