395132892 has 192 divisors, whose sum is σ = 1230888960. Its totient is φ = 95558400.

The previous prime is 395132849. The next prime is 395132897. The reversal of 395132892 is 298231593.

It is a super-2 number, since 2×395132892² = 312260004680567328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (116640) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395132897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1246318 + ... + 1246634.

It is an arithmetic number, because the mean of its divisors is an integer number (6410880).

Almost surely, 2^395132892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395132892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615444480).

395132892 is an abundant number, since it is smaller than the sum of its proper divisors (835756068).

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

395132892 is a wasteful number, since it uses less digits than its factorization.

395132892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 430 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 395132892 is about 19877.9498942924. The cubic root of 395132892 is about 733.8056664165.

The spelling of 395132892 in words is "three hundred ninety-five million, one hundred thirty-two thousand, eight hundred ninety-two".