395406088 has 96 divisors (see below), whose sum is σ = 950732640. Its totient is φ = 152436480.

The previous prime is 395406083. The next prime is 395406119. The reversal of 395406088 is 880604593.

It is not an unprimeable number, because it can be changed into a prime (395406083) 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 23 ways as a sum of consecutive naturals, for example, 460956 + ... + 461812.

It is an arithmetic number, because the mean of its divisors is an integer number (9903465).

Almost surely, 2^395406088 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 395406088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475366320).

395406088 is an abundant number, since it is smaller than the sum of its proper divisors (555326552).

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

395406088 is a wasteful number, since it uses less digits than its factorization.

395406088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 395406088 is about 19884.8205423132. The cubic root of 395406088 is about 733.9747458934.

The spelling of 395406088 in words is "three hundred ninety-five million, four hundred six thousand, eighty-eight".