490961088 has 196 divisors, whose sum is σ = 1549130760. Its totient is φ = 153778176.

The previous prime is 490961087. The next prime is 490961089. The reversal of 490961088 is 880169094.

It is an interprime number because it is at equal distance from previous prime (490961087) and next prime (490961089).

It is not an unprimeable number, because it can be changed into a prime (490961087) 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 27 ways as a sum of consecutive naturals, for example, 792843 + ... + 793461.

Almost surely, 2^490961088 is an apocalyptic number.

490961088 is a gapful number since it is divisible by the number (48) 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 490961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774565380).

490961088 is an abundant number, since it is smaller than the sum of its proper divisors (1058169672).

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

490961088 is an equidigital number, since it uses as much as digits as its factorization.

490961088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 490961088 is about 22157.6417517749. The cubic root of 490961088 is about 788.8886193597. Note that the first 3 decimals are identical.

The spelling of 490961088 in words is "four hundred ninety million, nine hundred sixty-one thousand, eighty-eight".