490932 has 36 divisors (see below), whose sum is σ = 1337700. Its totient is φ = 150912.

The previous prime is 490927. The next prime is 490937. The reversal of 490932 is 239094.

It is an interprime number because it is at equal distance from previous prime (490927) and next prime (490937).

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 224676 = 516^2 + 474^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 490896 and 490905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490937) by changing a digit.

490932 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 57 + ... + 992.

2⁴⁹⁰⁹³² 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 490932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668850).

490932 is an abundant number, since it is smaller than the sum of its proper divisors (846768).

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

490932 is a wasteful number, since it uses less digits than its factorization.

490932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 490932 is about 700.6653980325. The cubic root of 490932 is about 78.8873039275.

The spelling of 490932 in words is "four hundred ninety thousand, nine hundred thirty-two".