490176 has 84 divisors (see below), whose sum is σ = 1505712. Its totient is φ = 152064.

The previous prime is 490169. The next prime is 490183. The reversal of 490176 is 671094.

490176 is a `hidden beast` number, since 490 + 176 = 666.

It is an interprime number because it is at equal distance from previous prime (490169) and next prime (490183).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13230 + ... + 13266.

490176 is a Friedman number, since it can be written as 7104*69, using all its digits and the basic arithmetic operations.

2⁴⁹⁰¹⁷⁶ is an apocalyptic number.

490176 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752856).

490176 is an abundant number, since it is smaller than the sum of its proper divisors (1015536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

490176 is a wasteful number, since it uses less digits than its factorization.

490176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 490176 is about 700.1257029991. The cubic root of 490176 is about 78.8467895310.

It can be divided in two parts, 490 and 176, that added together give a palindrome (666).

The spelling of 490176 in words is "four hundred ninety thousand, one hundred seventy-six".