395355642 has 48 divisors (see below), whose sum is σ = 875974176. Its totient is φ = 118861600.

The previous prime is 395355613. The next prime is 395355647. The reversal of 395355642 is 246553593.

It is a happy number.

It is a super-2 number, since 2×395355642² = 312612167322464328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 395355594 and 395355603.

It is not an unprimeable number, because it can be changed into a prime (395355647) 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, 93028 + ... + 97184.

It is an arithmetic number, because the mean of its divisors is an integer number (18249462).

Almost surely, 2^395355642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395355642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437987088).

395355642 is an abundant number, since it is smaller than the sum of its proper divisors (480618534).

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

395355642 is a wasteful number, since it uses less digits than its factorization.

395355642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4304 counting only the distinct ones).

The product of its digits is 486000, while the sum is 42.

The square root of 395355642 is about 19883.5520468552. The cubic root of 395355642 is about 733.9435310101.

It can be divided in two parts, 3953 and 55642, that added together give a palindrome (59595).

The spelling of 395355642 in words is "three hundred ninety-five million, three hundred fifty-five thousand, six hundred forty-two".