395598840 has 256 divisors, whose sum is σ = 1547320320. Its totient is φ = 78520320.

The previous prime is 395598821. The next prime is 395598893. The reversal of 395598840 is 48895593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 184575 + ... + 186705.

It is an arithmetic number, because the mean of its divisors is an integer number (6044220).

Almost surely, 2^395598840 is an apocalyptic number.

395598840 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 395598840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773660160).

395598840 is an abundant number, since it is smaller than the sum of its proper divisors (1151721480).

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

395598840 is a wasteful number, since it uses less digits than its factorization.

395598840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The square root of 395598840 is about 19889.6666638735. Note that the first 5 decimals coincide. The cubic root of 395598840 is about 734.0939921755.

The spelling of 395598840 in words is "three hundred ninety-five million, five hundred ninety-eight thousand, eight hundred forty".