395386152 has 128 divisors (see below), whose sum is σ = 1182105600. Its totient is φ = 107939520.

The previous prime is 395386141. The next prime is 395386157. The reversal of 395386152 is 251683593.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (395386157) 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 31 ways as a sum of consecutive naturals, for example, 5004849 + ... + 5004927.

It is an arithmetic number, because the mean of its divisors is an integer number (9235200).

Almost surely, 2^395386152 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 395386152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591052800).

395386152 is an abundant number, since it is smaller than the sum of its proper divisors (786719448).

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

395386152 is an equidigital number, since it uses as much as digits as its factorization.

395386152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 122 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 395386152 is about 19884.3192490968. The cubic root of 395386152 is about 733.9624102492.

The spelling of 395386152 in words is "three hundred ninety-five million, three hundred eighty-six thousand, one hundred fifty-two".