395483904 has 144 divisors (see below), whose sum is σ = 1210456800. Its totient is φ = 127217664.

The previous prime is 395483899. The next prime is 395483927. The reversal of 395483904 is 409384593.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 395483904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199462 + ... + 201434.

It is an arithmetic number, because the mean of its divisors is an integer number (8405950).

Almost surely, 2^395483904 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 395483904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605228400).

395483904 is an abundant number, since it is smaller than the sum of its proper divisors (814972896).

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

395483904 is a wasteful number, since it uses less digits than its factorization.

395483904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2007 counting only the distinct ones).

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

The square root of 395483904 is about 19886.7771144547. Note that the first 3 decimals coincide. The cubic root of 395483904 is about 734.0228915292.

The spelling of 395483904 in words is "three hundred ninety-five million, four hundred eighty-three thousand, nine hundred four".