395489952 has 360 divisors, whose sum is σ = 1391014548. Its totient is φ = 109486080.

The previous prime is 395489933. The next prime is 395489957. The reversal of 395489952 is 259984593.

It is a happy number.

395489952 is a `hidden beast` number, since 3 + 9 + 548 + 9 + 95 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 376515216 + 18974736 = 19404^2 + 4356^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (395489957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4077168 + ... + 4077264.

Almost surely, 2^395489952 is an apocalyptic number.

395489952 is a gapful number since it is divisible by the number (32) 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 395489952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695507274).

395489952 is an abundant number, since it is smaller than the sum of its proper divisors (995524596).

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

395489952 is a wasteful number, since it uses less digits than its factorization.

395489952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 395489952 is about 19886.9291747117. The cubic root of 395489952 is about 734.0266332304.

The spelling of 395489952 in words is "three hundred ninety-five million, four hundred eighty-nine thousand, nine hundred fifty-two".