395828040 has 64 divisors (see below), whose sum is σ = 1192498560. Its totient is φ = 105108480.

The previous prime is 395828023. The next prime is 395828071. The reversal of 395828040 is 40828593.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 395828040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22077 + ... + 35763.

It is an arithmetic number, because the mean of its divisors is an integer number (18632790).

Almost surely, 2^395828040 is an apocalyptic number.

395828040 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 395828040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596249280).

395828040 is an abundant number, since it is smaller than the sum of its proper divisors (796670520).

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

395828040 is a wasteful number, since it uses less digits than its factorization.

395828040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942 (or 13938 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 395828040 is about 19895.4276154095. The cubic root of 395828040 is about 734.2357366587.

The spelling of 395828040 in words is "three hundred ninety-five million, eight hundred twenty-eight thousand, forty".