395313152 has 84 divisors (see below), whose sum is σ = 880803420. Its totient is φ = 176160768.

The previous prime is 395313151. The next prime is 395313173. The reversal of 395313152 is 251313593.

It can be written as a sum of positive squares in 2 ways, for example, as 126877696 + 268435456 = 11264^2 + 16384^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (395313151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13631474 + ... + 13631502.

It is an arithmetic number, because the mean of its divisors is an integer number (10485755).

Almost surely, 2^395313152 is an apocalyptic number.

395313152 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 395313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440401710).

395313152 is an abundant number, since it is smaller than the sum of its proper divisors (485490268).

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

395313152 is an frugal number, since it uses more digits than its factorization.

395313152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 44 counting only the distinct ones).

The product of its digits is 12150, while the sum is 32.

The square root of 395313152 is about 19882.4835470823. The cubic root of 395313152 is about 733.9172370656.

The spelling of 395313152 in words is "three hundred ninety-five million, three hundred thirteen thousand, one hundred fifty-two".