395144256 has 224 divisors, whose sum is σ = 1198229760. Its totient is φ = 114057216.

The previous prime is 395144231. The next prime is 395144257. The reversal of 395144256 is 652441593.

It is a super-2 number, since 2×395144256² = 312277966099587072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395144257) 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, 3836301 + ... + 3836403.

It is an arithmetic number, because the mean of its divisors is an integer number (5349240).

Almost surely, 2^395144256 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 395144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599114880).

395144256 is an abundant number, since it is smaller than the sum of its proper divisors (803085504).

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

395144256 is a wasteful number, since it uses less digits than its factorization.

395144256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 395144256 is about 19878.2357366040. The cubic root of 395144256 is about 733.8127010858.

The spelling of 395144256 in words is "three hundred ninety-five million, one hundred forty-four thousand, two hundred fifty-six".