490880 has 64 divisors (see below), whose sum is σ = 1285200. Its totient is φ = 178176.

The previous prime is 490877. The next prime is 490891. The reversal of 490880 is 88094.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8291 + ... + 8349.

2⁴⁹⁰⁸⁸⁰ is an apocalyptic number.

490880 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 490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642600).

490880 is an abundant number, since it is smaller than the sum of its proper divisors (794320).

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

490880 is a wasteful number, since it uses less digits than its factorization.

490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 490880 is about 700.6282894660. The cubic root of 490880 is about 78.8845185556.

The spelling of 490880 in words is "four hundred ninety thousand, eight hundred eighty".