490013 has 8 divisors (see below), whose sum is σ = 517080. Its totient is φ = 463680.

The previous prime is 490003. The next prime is 490019. The reversal of 490013 is 310094.

It can be written as a sum of positive squares in 4 ways, for example, as 2809 + 487204 = 53^2 + 698^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 490013 - 2¹⁸ = 227869 is a prime.

It is a super-2 number, since 2×490013² = 480225480338, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 489973 and 490000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490019) 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, 1631 + ... + 1907.

It is an arithmetic number, because the mean of its divisors is an integer number (64635).

2⁴⁹⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

490013 is a deficient number, since it is larger than the sum of its proper divisors (27067).

490013 is a wasteful number, since it uses less digits than its factorization.

490013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 490013 is about 700.0092856527. The cubic root of 490013 is about 78.8380488260.

It can be divided in two parts, 4900 and 13, that added together give a cube (4913 = 17³).

The spelling of 490013 in words is "four hundred ninety thousand, thirteen".