395393840 has 120 divisors (see below), whose sum is σ = 982593360. Its totient is φ = 147847680.

The previous prime is 395393773. The next prime is 395393849. The reversal of 395393840 is 48393593.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 395393791 and 395393800.

It is not an unprimeable number, because it can be changed into a prime (395393849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2844491 + ... + 2844629.

It is an arithmetic number, because the mean of its divisors is an integer number (8188278).

Almost surely, 2^395393840 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 395393840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491296680).

395393840 is an abundant number, since it is smaller than the sum of its proper divisors (587199520).

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

395393840 is a wasteful number, since it uses less digits than its factorization.

395393840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The square root of 395393840 is about 19884.5125663165. The cubic root of 395393840 is about 733.9671673425.

The spelling of 395393840 in words is "three hundred ninety-five million, three hundred ninety-three thousand, eight hundred forty".