395412688 has 120 divisors (see below), whose sum is σ = 908441856. Its totient is φ = 165158400.

The previous prime is 395412679. The next prime is 395412751. The reversal of 395412688 is 886214593.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2886156 + ... + 2886292.

Almost surely, 2^395412688 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 395412688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454220928).

395412688 is an abundant number, since it is smaller than the sum of its proper divisors (513029168).

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

395412688 is a wasteful number, since it uses less digits than its factorization.

395412688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 395412688 is about 19884.9864973552. The cubic root of 395412688 is about 733.9788296329.

The spelling of 395412688 in words is "three hundred ninety-five million, four hundred twelve thousand, six hundred eighty-eight".