395496192 has 144 divisors (see below), whose sum is σ = 1295732480. Its totient is φ = 104288256.

The previous prime is 395496181. The next prime is 395496193. The reversal of 395496192 is 291694593.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (395496193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67059 + ... + 72717.

Almost surely, 2^395496192 is an apocalyptic number.

395496192 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 395496192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647866240).

395496192 is an abundant number, since it is smaller than the sum of its proper divisors (900236288).

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

395496192 is a wasteful number, since it uses less digits than its factorization.

395496192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5698 (or 5684 counting only the distinct ones).

The product of its digits is 524880, while the sum is 48.

The square root of 395496192 is about 19887.0860610598. The cubic root of 395496192 is about 734.0304936758.

The spelling of 395496192 in words is "three hundred ninety-five million, four hundred ninety-six thousand, one hundred ninety-two".