490806000 has 320 divisors, whose sum is σ = 1798992000. Its totient is φ = 127872000.

The previous prime is 490805989. The next prime is 490806013. The reversal of 490806000 is 608094.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3293926 + ... + 3294074.

It is an arithmetic number, because the mean of its divisors is an integer number (5621850).

Almost surely, 2^490806000 is an apocalyptic number.

490806000 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 490806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899496000).

490806000 is an abundant number, since it is smaller than the sum of its proper divisors (1308186000).

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

490806000 is a wasteful number, since it uses less digits than its factorization.

490806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 490806000 is about 22154.1418249500. The cubic root of 490806000 is about 788.8055441791.

The spelling of 490806000 in words is "four hundred ninety million, eight hundred six thousand".