490401 has 16 divisors (see below), whose sum is σ = 745920. Its totient is φ = 318240.

The previous prime is 490393. The next prime is 490417. The reversal of 490401 is 104094.

It is not a de Polignac number, because 490401 - 2³ = 490393 is a prime.

It is a Curzon number.

490401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (490421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (46620).

2⁴⁹⁰⁴⁰¹ is an apocalyptic number.

490401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

490401 is a deficient number, since it is larger than the sum of its proper divisors (255519).

490401 is a wasteful number, since it uses less digits than its factorization.

490401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 490401 is about 700.2863699944. The cubic root of 490401 is about 78.8588517386.

Adding to 490401 its product of nonzero digits (144), we get a triangular number (490545 = T₉₉₀).

Adding to 490401 its reverse (104094), we get a palindrome (594495).

The spelling of 490401 in words is "four hundred ninety thousand, four hundred one".