395268048 has 60 divisors (see below), whose sum is σ = 1264233568. Its totient is φ = 112933440.

The previous prime is 395268043. The next prime is 395268061. The reversal of 395268048 is 840862593.

395268048 is a `hidden beast` number, since 3 + 9 + 526 + 80 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 395267994 and 395268012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395268043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195058 + ... + 197073.

Almost surely, 2^395268048 is an apocalyptic number.

It is an amenable number.

395268048 is an abundant number, since it is smaller than the sum of its proper divisors (868965520).

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

395268048 is a wasteful number, since it uses less digits than its factorization.

395268048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392152 (or 392143 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 395268048 is about 19881.3492499880. The cubic root of 395268048 is about 733.8893234466.

It can be divided in two parts, 39526 and 8048, that added together give a palindrome (47574).

The spelling of 395268048 in words is "three hundred ninety-five million, two hundred sixty-eight thousand, forty-eight".