495960192 has 512 divisors, whose sum is σ = 1919232000. Its totient is φ = 122425344.

The previous prime is 495960191. The next prime is 495960209. The reversal of 495960192 is 291069594.

495960192 is a `hidden beast` number, since 49 + 596 + 0 + 19 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (495960191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5975383 + ... + 5975465.

It is an arithmetic number, because the mean of its divisors is an integer number (3748500).

Almost surely, 2^495960192 is an apocalyptic number.

495960192 is a gapful number since it is divisible by the number (42) 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 495960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959616000).

495960192 is an abundant number, since it is smaller than the sum of its proper divisors (1423271808).

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

495960192 is a wasteful number, since it uses less digits than its factorization.

495960192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 495960192 is about 22270.1637174045. The cubic root of 495960192 is about 791.5571445215.

The spelling of 495960192 in words is "four hundred ninety-five million, nine hundred sixty thousand, one hundred ninety-two".