395220384 has 240 divisors, whose sum is σ = 1289628648. Its totient is φ = 117946368.

The previous prime is 395220377. The next prime is 395220401. The reversal of 395220384 is 483022593.

It can be written as a sum of positive squares in 4 ways, for example, as 256640400 + 138579984 = 16020^2 + 11772^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1246594 + ... + 1246910.

Almost surely, 2^395220384 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 395220384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644814324).

395220384 is an abundant number, since it is smaller than the sum of its proper divisors (894408264).

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

395220384 is a wasteful number, since it uses less digits than its factorization.

395220384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 395220384 is about 19880.1505024484. The cubic root of 395220384 is about 733.8598232066.

It can be divided in two parts, 3952 and 20384, that added together give a square (24336 = 156²).

The spelling of 395220384 in words is "three hundred ninety-five million, two hundred twenty thousand, three hundred eighty-four".