395959590 has 160 divisors (see below), whose sum is σ = 1184553216. Its totient is φ = 94245120.

The previous prime is 395959583. The next prime is 395959633. The reversal of 395959590 is 95959593.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 325824 + ... + 327036.

Almost surely, 2^395959590 is an apocalyptic number.

395959590 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 395959590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592276608).

395959590 is an abundant number, since it is smaller than the sum of its proper divisors (788593626).

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

395959590 is a wasteful number, since it uses less digits than its factorization.

395959590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 2460375, while the sum is 54.

The square root of 395959590 is about 19898.7333767755. The cubic root of 395959590 is about 734.3170665993.

The spelling of 395959590 in words is "three hundred ninety-five million, nine hundred fifty-nine thousand, five hundred ninety".