490960 has 60 divisors (see below), whose sum is σ = 1275588. Its totient is φ = 175104.

The previous prime is 490957. The next prime is 490967. The reversal of 490960 is 69094.

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 207936 = 532^2 + 456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25831 + ... + 25849.

2⁴⁹⁰⁹⁶⁰ is an apocalyptic number.

490960 is a gapful number since it is divisible by the number (40) 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 490960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637794).

490960 is an abundant number, since it is smaller than the sum of its proper divisors (784628).

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

490960 is a wasteful number, since it uses less digits than its factorization.

490960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 490960 is about 700.6853787543. The cubic root of 490960 is about 78.8888036617. Note that the first 4 decimals are identical.

The spelling of 490960 in words is "four hundred ninety thousand, nine hundred sixty".