490952 has 32 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 191040.

The previous prime is 490951. The next prime is 490957. The reversal of 490952 is 259094.

It is not an unprimeable number, because it can be changed into a prime (490951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218 + ... + 1014.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2⁴⁹⁰⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

490952 is an abundant number, since it is smaller than the sum of its proper divisors (658168).

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

490952 is a wasteful number, since it uses less digits than its factorization.

490952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 490952 is about 700.6796700347. The cubic root of 490952 is about 78.8883751721. Note that the first 3 decimals are identical.

The spelling of 490952 in words is "four hundred ninety thousand, nine hundred fifty-two".