395784576 has 256 divisors, whose sum is σ = 1321920000. Its totient is φ = 115476480.

The previous prime is 395784563. The next prime is 395784577. The reversal of 395784576 is 675487593.

It is a super-3 number, since 3×395784576³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395784577) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1102285 + ... + 1102643.

It is an arithmetic number, because the mean of its divisors is an integer number (5163750).

Almost surely, 2^395784576 is an apocalyptic number.

395784576 is a gapful number since it is divisible by the number (36) 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 395784576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660960000).

395784576 is an abundant number, since it is smaller than the sum of its proper divisors (926135424).

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

395784576 is a wasteful number, since it uses less digits than its factorization.

395784576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 404 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 395784576 is about 19894.3352741427. The cubic root of 395784576 is about 734.2088613602.

The spelling of 395784576 in words is "three hundred ninety-five million, seven hundred eighty-four thousand, five hundred seventy-six".