490008085 has 36 divisors (see below), whose sum is σ = 726364908. Its totient is φ = 316240512.

The previous prime is 490008067. The next prime is 490008107. The reversal of 490008085 is 580800094.

It can be written as a sum of positive squares in 2 ways, for example, as 282475249 + 207532836 = 16807^2 + 14406^2 .

It is not a de Polignac number, because 490008085 - 2⁵ = 490008053 is a prime.

It is a Duffinian number.

490008085 is a modest number, since divided by 8085 gives 490 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 490008085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28823997 + ... + 28824013.

It is an arithmetic number, because the mean of its divisors is an integer number (20176803).

Almost surely, 2^490008085 is an apocalyptic number.

It is an amenable number.

490008085 is a deficient number, since it is larger than the sum of its proper divisors (236356823).

490008085 is an frugal number, since it uses more digits than its factorization.

490008085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 490008085 is about 22136.1262419602. The cubic root of 490008085 is about 788.3778523410.

The spelling of 490008085 in words is "four hundred ninety million, eight thousand, eighty-five".