395412192 has 480 divisors, whose sum is σ = 1483130880. Its totient is φ = 100776960.

The previous prime is 395412191. The next prime is 395412203. The reversal of 395412192 is 291214593.

395412192 is a `hidden beast` number, since 3 + 9 + 541 + 21 + 92 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395412191) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10686798 + ... + 10686834.

It is an arithmetic number, because the mean of its divisors is an integer number (3089856).

Almost surely, 2^395412192 is an apocalyptic number.

395412192 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 395412192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741565440).

395412192 is an abundant number, since it is smaller than the sum of its proper divisors (1087718688).

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

395412192 is a wasteful number, since it uses less digits than its factorization.

395412192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 395412192 is about 19884.9740256305. The cubic root of 395412192 is about 733.9785227353.

The spelling of 395412192 in words is "three hundred ninety-five million, four hundred twelve thousand, one hundred ninety-two".