490603680 has 432 divisors, whose sum is σ = 2067123240. Its totient is φ = 105283584.

The previous prime is 490603661. The next prime is 490603699. The reversal of 490603680 is 86306094.

490603680 is a `hidden beast` number, since 49 + 0 + 603 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (490603661) and next prime (490603699).

It can be written as a sum of positive squares in 4 ways, for example, as 488056464 + 2547216 = 22092^2 + 1596^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1199316 + ... + 1199724.

Almost surely, 2^490603680 is an apocalyptic number.

490603680 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 490603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033561620).

490603680 is an abundant number, since it is smaller than the sum of its proper divisors (1576519560).

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

490603680 is a wasteful number, since it uses less digits than its factorization.

490603680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 490603680 is about 22149.5751652261. The cubic root of 490603680 is about 788.6971421686.

The spelling of 490603680 in words is "four hundred ninety million, six hundred three thousand, six hundred eighty".