490498560 has 240 divisors, whose sum is σ = 1731529800. Its totient is φ = 128286720.

The previous prime is 490498559. The next prime is 490498571. The reversal of 490498560 is 65894094.

It is a happy number.

490498560 is a `hidden beast` number, since 49 + 0 + 49 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 313714944 + 176783616 = 17712^2 + 13296^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1405266 + ... + 1405614.

Almost surely, 2^490498560 is an apocalyptic number.

490498560 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 490498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865764900).

490498560 is an abundant number, since it is smaller than the sum of its proper divisors (1241031240).

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

490498560 is a wasteful number, since it uses less digits than its factorization.

490498560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 490498560 is about 22147.2020806241. The cubic root of 490498560 is about 788.6408076504.

The spelling of 490498560 in words is "four hundred ninety million, four hundred ninety-eight thousand, five hundred sixty".