395605952 has 28 divisors (see below), whose sum is σ = 897178800. Its totient is φ = 169545216.

The previous prime is 395605949. The next prime is 395605981. The reversal of 395605952 is 259506593.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-3 number, since 3×395605952³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 441077 + ... + 441972.

It is an arithmetic number, because the mean of its divisors is an integer number (32042100).

Almost surely, 2^395605952 is an apocalyptic number.

395605952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

395605952 is an abundant number, since it is smaller than the sum of its proper divisors (501572848).

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

395605952 is an equidigital number, since it uses as much as digits as its factorization.

395605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883068 (or 883058 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 44.

The square root of 395605952 is about 19889.8454493744. The cubic root of 395605952 is about 734.0983912828.

The spelling of 395605952 in words is "three hundred ninety-five million, six hundred five thousand, nine hundred fifty-two".