490415688 has 256 divisors, whose sum is σ = 1681152000. Its totient is φ = 129330432.

The previous prime is 490415687. The next prime is 490415689. The reversal of 490415688 is 886514094.

490415688 is a `hidden beast` number, since 49 + 0 + 41 + 568 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (490415687) and next prime (490415689).

It is not an unprimeable number, because it can be changed into a prime (490415687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235106 + ... + 1235502.

It is an arithmetic number, because the mean of its divisors is an integer number (6567000).

Almost surely, 2^490415688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490415688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840576000).

490415688 is an abundant number, since it is smaller than the sum of its proper divisors (1190736312).

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

490415688 is a wasteful number, since it uses less digits than its factorization.

490415688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 490415688 is about 22145.3310654865. The cubic root of 490415688 is about 788.5963903117.

The spelling of 490415688 in words is "four hundred ninety million, four hundred fifteen thousand, six hundred eighty-eight".