490578192 has 120 divisors (see below), whose sum is σ = 1499779008. Its totient is φ = 148780800.

The previous prime is 490578191. The next prime is 490578199. The reversal of 490578192 is 291875094.

490578192 is a `hidden beast` number, since 490 + 5 + 78 + 1 + 92 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (490578191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131067 + ... + 134757.

Almost surely, 2^490578192 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 490578192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749889504).

490578192 is an abundant number, since it is smaller than the sum of its proper divisors (1009200816).

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

490578192 is a wasteful number, since it uses less digits than its factorization.

490578192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 490578192 is about 22148.9997968306. Note that the first 3 decimals coincide. The cubic root of 490578192 is about 788.6834837163.

The spelling of 490578192 in words is "four hundred ninety million, five hundred seventy-eight thousand, one hundred ninety-two".