490434080 has 96 divisors (see below), whose sum is σ = 1261915200. Its totient is φ = 179407872.

The previous prime is 490434079. The next prime is 490434089. The reversal of 490434080 is 80434094.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (490434089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85379 + ... + 90941.

It is an arithmetic number, because the mean of its divisors is an integer number (13144950).

Almost surely, 2^490434080 is an apocalyptic number.

490434080 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 490434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630957600).

490434080 is an abundant number, since it is smaller than the sum of its proper divisors (771481120).

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

490434080 is a wasteful number, since it uses less digits than its factorization.

490434080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 490434080 is about 22145.7463184242. The cubic root of 490434080 is about 788.6062484000.

The spelling of 490434080 in words is "four hundred ninety million, four hundred thirty-four thousand, eighty".