490775760 has 200 divisors, whose sum is σ = 1737913320. Its totient is φ = 128314368.

The previous prime is 490775743. The next prime is 490775777. The reversal of 490775760 is 67577094.

490775760 is a `hidden beast` number, since 4 + 9 + 0 + 77 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (490775743) and next prime (490775777).

It can be written as a sum of positive squares in 4 ways, for example, as 14837904 + 475937856 = 3852^2 + 21816^2 .

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 342726 + ... + 344154.

Almost surely, 2^490775760 is an apocalyptic number.

490775760 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 490775760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868956660).

490775760 is an abundant number, since it is smaller than the sum of its proper divisors (1247137560).

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

490775760 is a wasteful number, since it uses less digits than its factorization.

490775760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 490775760 is about 22153.4593235458. The cubic root of 490775760 is about 788.7893436372.

The spelling of 490775760 in words is "four hundred ninety million, seven hundred seventy-five thousand, seven hundred sixty".