395210144 has 96 divisors (see below), whose sum is σ = 932238720. Its totient is φ = 161344512.

The previous prime is 395210141. The next prime is 395210149. The reversal of 395210144 is 441012593.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (395210141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538802 + ... + 539534.

It is an arithmetic number, because the mean of its divisors is an integer number (9710820).

Almost surely, 2^395210144 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 395210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466119360).

395210144 is an abundant number, since it is smaller than the sum of its proper divisors (537028576).

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

395210144 is a wasteful number, since it uses less digits than its factorization.

395210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 395210144 is about 19879.8929574583. The cubic root of 395210144 is about 733.8534851483.

The spelling of 395210144 in words is "three hundred ninety-five million, two hundred ten thousand, one hundred forty-four".