490189920 has 192 divisors, whose sum is σ = 1695665664. Its totient is φ = 118046720.

The previous prime is 490189907. The next prime is 490189927. The reversal of 490189920 is 29981094.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490189927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1388464 + ... + 1388816.

It is an arithmetic number, because the mean of its divisors is an integer number (8831592).

Almost surely, 2^490189920 is an apocalyptic number.

490189920 is a gapful number since it is divisible by the number (40) 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 490189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847832832).

490189920 is an abundant number, since it is smaller than the sum of its proper divisors (1205475744).

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

490189920 is a wasteful number, since it uses less digits than its factorization.

490189920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 490189920 is about 22140.2330611039. The cubic root of 490189920 is about 788.4753588669.

The spelling of 490189920 in words is "four hundred ninety million, one hundred eighty-nine thousand, nine hundred twenty".