490680 has 96 divisors (see below), whose sum is σ = 1684800. Its totient is φ = 123648.

The previous prime is 490663. The next prime is 490697. The reversal of 490680 is 86094.

It is an interprime number because it is at equal distance from previous prime (490663) and next prime (490697).

It is a congruent number.

It is an unprimeable number.

490680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10417 + ... + 10463.

It is an arithmetic number, because the mean of its divisors is an integer number (17550).

2⁴⁹⁰⁶⁸⁰ is an apocalyptic number.

490680 is a gapful number since it is divisible by the number (40) 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 490680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842400).

490680 is an abundant number, since it is smaller than the sum of its proper divisors (1194120).

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

490680 is a wasteful number, since it uses less digits than its factorization.

490680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 490680 is about 700.4855458894. The cubic root of 490680 is about 78.8738037530.

The spelling of 490680 in words is "four hundred ninety thousand, six hundred eighty".