490260480 has 96 divisors (see below), whose sum is σ = 1568548800. Its totient is φ = 130727936.

The previous prime is 490260469. The next prime is 490260497. The reversal of 490260480 is 84062094.

It is a tau number, because it is divible by the number of its divisors (96).

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, 22741 + ... + 38699.

It is an arithmetic number, because the mean of its divisors is an integer number (16339050).

Almost surely, 2^490260480 is an apocalyptic number.

490260480 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 490260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784274400).

490260480 is an abundant number, since it is smaller than the sum of its proper divisors (1078288320).

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

490260480 is a wasteful number, since it uses less digits than its factorization.

490260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15989 (or 15969 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 490260480 is about 22141.8264829259. The cubic root of 490260480 is about 788.5131892056.

The spelling of 490260480 in words is "four hundred ninety million, two hundred sixty thousand, four hundred eighty".