395238096 has 160 divisors (see below), whose sum is σ = 1278013440. Its totient is φ = 115862400.

The previous prime is 395238061. The next prime is 395238101. The reversal of 395238096 is 690832593.

395238096 is a `hidden beast` number, since 39 + 523 + 8 + 0 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145971 + ... + 148653.

It is an arithmetic number, because the mean of its divisors is an integer number (7987584).

Almost surely, 2^395238096 is an apocalyptic number.

395238096 is a gapful number since it is divisible by the number (36) 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 395238096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639006720).

395238096 is an abundant number, since it is smaller than the sum of its proper divisors (882775344).

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

395238096 is a wasteful number, since it uses less digits than its factorization.

395238096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 395238096 is about 19880.5959669221. The cubic root of 395238096 is about 733.8707858083.

The spelling of 395238096 in words is "three hundred ninety-five million, two hundred thirty-eight thousand, ninety-six".