395548032 has 96 divisors (see below), whose sum is σ = 1155009240. Its totient is φ = 119848960.

The previous prime is 395548007. The next prime is 395548039. The reversal of 395548032 is 230845593.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395548039) 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 11 ways as a sum of consecutive naturals, for example, 42208 + ... + 50720.

Almost surely, 2^395548032 is an apocalyptic number.

395548032 is a gapful number since it is divisible by the number (32) 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 395548032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577504620).

395548032 is an abundant number, since it is smaller than the sum of its proper divisors (759461208).

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

395548032 is a wasteful number, since it uses less digits than its factorization.

395548032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 395548032 is about 19888.3893767193. The cubic root of 395548032 is about 734.0625634986.

It can be divided in two parts, 39554 and 8032, that added together give a triangular number (47586 = T₃₀₈).

The spelling of 395548032 in words is "three hundred ninety-five million, five hundred forty-eight thousand, thirty-two".