395563752 has 96 divisors (see below), whose sum is σ = 1183740480. Its totient is φ = 118694400.

The previous prime is 395563739. The next prime is 395563759. The reversal of 395563752 is 257365593.

It is a happy number.

395563752 is a `hidden beast` number, since 3 + 9 + 5 + 5 + 637 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 395563698 and 395563707.

It is not an unprimeable number, because it can be changed into a prime (395563759) 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, 21127 + ... + 35177.

It is an arithmetic number, because the mean of its divisors is an integer number (12330630).

Almost surely, 2^395563752 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 395563752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591870240).

395563752 is an abundant number, since it is smaller than the sum of its proper divisors (788176728).

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

395563752 is a wasteful number, since it uses less digits than its factorization.

395563752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14103 (or 14096 counting only the distinct ones).

The product of its digits is 850500, while the sum is 45.

The square root of 395563752 is about 19888.7845782491. The cubic root of 395563752 is about 734.0722878217.

The spelling of 395563752 in words is "three hundred ninety-five million, five hundred sixty-three thousand, seven hundred fifty-two".