395649020 has 72 divisors (see below), whose sum is σ = 917181216. Its totient is φ = 142515072.

The previous prime is 395648971. The next prime is 395649043. The reversal of 395649020 is 20946593.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480329 + ... + 481151.

It is an arithmetic number, because the mean of its divisors is an integer number (12738628).

Almost surely, 2^395649020 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 395649020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458590608).

395649020 is an abundant number, since it is smaller than the sum of its proper divisors (521532196).

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

395649020 is a wasteful number, since it uses less digits than its factorization.

395649020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 395649020 is about 19890.9280829226. The cubic root of 395649020 is about 734.1250297447.

It can be divided in two parts, 39564 and 9020, that added together give a palindrome (48584).

The spelling of 395649020 in words is "three hundred ninety-five million, six hundred forty-nine thousand, twenty".