395808240 has 240 divisors, whose sum is σ = 1329745248. Its totient is φ = 97284096.

The previous prime is 395808239. The next prime is 395808299. The reversal of 395808240 is 42808593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7468054 + ... + 7468106.

Almost surely, 2^395808240 is an apocalyptic number.

395808240 is a gapful number since it is divisible by the number (30) 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 395808240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664872624).

395808240 is an abundant number, since it is smaller than the sum of its proper divisors (933937008).

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

395808240 is a wasteful number, since it uses less digits than its factorization.

395808240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 395808240 is about 19894.9300074165. The cubic root of 395808240 is about 734.2234938760.

The spelling of 395808240 in words is "three hundred ninety-five million, eight hundred eight thousand, two hundred forty".