490217952 has 216 divisors, whose sum is σ = 1572771816. Its totient is φ = 133292544.

The previous prime is 490217927. The next prime is 490217969. The reversal of 490217952 is 259712094.

It is a self number, because there is not a number n which added to its sum of digits gives 490217952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2488318 + ... + 2488514.

It is an arithmetic number, because the mean of its divisors is an integer number (7281351).

Almost surely, 2^490217952 is an apocalyptic number.

490217952 is a gapful number since it is divisible by the number (42) 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 490217952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786385908).

490217952 is an abundant number, since it is smaller than the sum of its proper divisors (1082553864).

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

490217952 is a wasteful number, since it uses less digits than its factorization.

490217952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 490217952 is about 22140.8661077204. The cubic root of 490217952 is about 788.4903884973.

The spelling of 490217952 in words is "four hundred ninety million, two hundred seventeen thousand, nine hundred fifty-two".