395280090 has 48 divisors (see below), whose sum is σ = 1088187048. Its totient is φ = 99207168.

The previous prime is 395280059. The next prime is 395280091. The reversal of 395280090 is 90082593.

It can be written as a sum of positive squares in 4 ways, for example, as 394538769 + 741321 = 19863^2 + 861^2 .

It is a super-3 number, since 3×395280090³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (395280091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127647 + ... + 130706.

Almost surely, 2^395280090 is an apocalyptic number.

395280090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

395280090 is an abundant number, since it is smaller than the sum of its proper divisors (692906958).

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

395280090 is a wasteful number, since it uses less digits than its factorization.

395280090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258383 (or 258380 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 395280090 is about 19881.6520943306. The cubic root of 395280090 is about 733.8967761154.

The spelling of 395280090 in words is "three hundred ninety-five million, two hundred eighty thousand, ninety".