490383360 has 288 divisors, whose sum is σ = 1805305320. Its totient is φ = 122683392.

The previous prime is 490383347. The next prime is 490383371. The reversal of 490383360 is 63383094.

It can be written as a sum of positive squares in 4 ways, for example, as 301925376 + 188457984 = 17376^2 + 13728^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566564 + ... + 1566876.

Almost surely, 2^490383360 is an apocalyptic number.

490383360 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 490383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902652660).

490383360 is an abundant number, since it is smaller than the sum of its proper divisors (1314921960).

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

490383360 is a wasteful number, since it uses less digits than its factorization.

490383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 490383360 is about 22144.6011479096. The cubic root of 490383360 is about 788.5790619479.

The spelling of 490383360 in words is "four hundred ninety million, three hundred eighty-three thousand, three hundred sixty".