490506000 has 160 divisors (see below), whose sum is σ = 1636502400. Its totient is φ = 126246400.

The previous prime is 490505989. The next prime is 490506017. The reversal of 490506000 is 605094.

It is a super-2 number, since 2×490506000² = 481192272072000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 172591 + ... + 175409.

It is an arithmetic number, because the mean of its divisors is an integer number (10228140).

Almost surely, 2^490506000 is an apocalyptic number.

490506000 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 490506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818251200).

490506000 is an abundant number, since it is smaller than the sum of its proper divisors (1145996400).

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

490506000 is a wasteful number, since it uses less digits than its factorization.

490506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 490506000 is about 22147.3700470282. The cubic root of 490506000 is about 788.6447950613.

The spelling of 490506000 in words is "four hundred ninety million, five hundred six thousand".