395882880 has 256 divisors, whose sum is σ = 1332495360. Its totient is φ = 99860480.

The previous prime is 395882867. The next prime is 395882887. The reversal of 395882880 is 88288593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395882887) 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, 3699787 + ... + 3699893.

It is an arithmetic number, because the mean of its divisors is an integer number (5205060).

Almost surely, 2^395882880 is an apocalyptic number.

395882880 is a gapful number since it is divisible by the number (30) 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 395882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666247680).

395882880 is an abundant number, since it is smaller than the sum of its proper divisors (936612480).

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

395882880 is a wasteful number, since it uses less digits than its factorization.

395882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The square root of 395882880 is about 19896.8057737919. The cubic root of 395882880 is about 734.2696433255.

The spelling of 395882880 in words is "three hundred ninety-five million, eight hundred eighty-two thousand, eight hundred eighty".