490349167 has 64 divisors (see below), whose sum is σ = 671514624. Its totient is φ = 346832640.

The previous prime is 490349147. The next prime is 490349179. The reversal of 490349167 is 761943094.

It is not a de Polignac number, because 490349167 - 2⁷ = 490349039 is a prime.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490349107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3579123 + ... + 3579259.

It is an arithmetic number, because the mean of its divisors is an integer number (10492416).

Almost surely, 2^490349167 is an apocalyptic number.

490349167 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

490349167 is a deficient number, since it is larger than the sum of its proper divisors (181165457).

490349167 is a wasteful number, since it uses less digits than its factorization.

490349167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268.

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 490349167 is about 22143.8290952581. The cubic root of 490349167 is about 788.5607330833.

The spelling of 490349167 in words is "four hundred ninety million, three hundred forty-nine thousand, one hundred sixty-seven".