490077 has 16 divisors (see below), whose sum is σ = 830080. Its totient is φ = 279936.

The previous prime is 490057. The next prime is 490097. The reversal of 490077 is 770094.

It is an interprime number because it is at equal distance from previous prime (490057) and next prime (490097).

It is not a de Polignac number, because 490077 - 2¹⁰ = 489053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

490077 is a modest number, since divided by 77 gives 49 as remainder.

490077 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 490077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490057) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1108 + ... + 1485.

It is an arithmetic number, because the mean of its divisors is an integer number (51880).

2⁴⁹⁰⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

490077 is a deficient number, since it is larger than the sum of its proper divisors (340003).

490077 is a wasteful number, since it uses less digits than its factorization.

490077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 490077 is about 700.0549978395. The cubic root of 490077 is about 78.8414809903.

The spelling of 490077 in words is "four hundred ninety thousand, seventy-seven".