490933248 has 176 divisors, whose sum is σ = 1485630720. Its totient is φ = 142884864.

The previous prime is 490933243. The next prime is 490933271. The reversal of 490933248 is 842339094.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (490933241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758461 + ... + 759107.

Almost surely, 2^490933248 is an apocalyptic number.

490933248 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 490933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742815360).

490933248 is an abundant number, since it is smaller than the sum of its proper divisors (994697472).

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

490933248 is a wasteful number, since it uses less digits than its factorization.

490933248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 490933248 is about 22157.0135171688. The cubic root of 490933248 is about 788.8737077405.

The spelling of 490933248 in words is "four hundred ninety million, nine hundred thirty-three thousand, two hundred forty-eight".