395292090 has 64 divisors (see below), whose sum is σ = 995203584. Its totient is φ = 100366848.

The previous prime is 395292071. The next prime is 395292091. The reversal of 395292090 is 90292593.

It is not an unprimeable number, because it can be changed into a prime (395292091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48382 + ... + 55958.

It is an arithmetic number, because the mean of its divisors is an integer number (15550056).

Almost surely, 2^395292090 is an apocalyptic number.

395292090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 395292090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497601792).

395292090 is an abundant number, since it is smaller than the sum of its proper divisors (599911494).

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

395292090 is a wasteful number, since it uses less digits than its factorization.

395292090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7671.

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 395292090 is about 19881.9538778260. The cubic root of 395292090 is about 733.9042026402.

The spelling of 395292090 in words is "three hundred ninety-five million, two hundred ninety-two thousand, ninety".