395532544 has 81 divisors (see below), whose sum is σ = 875567329. Its totient is φ = 178196480.

The previous prime is 395532521. The next prime is 395532547. The reversal of 395532544 is 445235593.

The square root of 395532544 is 19888.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6969600 + 388562944 = 2640^2 + 19712^2 .

It is a super-2 number, since 2×395532544² = 312891986726223872, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 395532497 and 395532506.

It is not an unprimeable number, because it can be changed into a prime (395532547) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3500232 + ... + 3500344.

Almost surely, 2^395532544 is an apocalyptic number.

395532544 is the 19888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395532544

395532544 is an abundant number, since it is smaller than the sum of its proper divisors (480034785).

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

395532544 is an equidigital number, since it uses as much as digits as its factorization.

395532544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 126 counting only the distinct ones).

The product of its digits is 324000, while the sum is 40.

The cubic root of 395532544 is about 734.0529824376.

The spelling of 395532544 in words is "three hundred ninety-five million, five hundred thirty-two thousand, five hundred forty-four".