395790080 has 144 divisors (see below), whose sum is σ = 1094145024. Its totient is φ = 134369280.

The previous prime is 395790067. The next prime is 395790119. The reversal of 395790080 is 80097593.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1460345 + ... + 1460615.

Almost surely, 2^395790080 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 395790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547072512).

395790080 is an abundant number, since it is smaller than the sum of its proper divisors (698354944).

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

395790080 is a wasteful number, since it uses less digits than its factorization.

395790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 395790080 is about 19894.4736044963. The cubic root of 395790080 is about 734.2122647831.

The spelling of 395790080 in words is "three hundred ninety-five million, seven hundred ninety thousand, eighty".