490242309549408 has 480 divisors, whose sum is σ = 1595271124228320. Its totient is φ = 146710740049920.

The previous prime is 490242309549403. The next prime is 490242309549449. The reversal of 490242309549408 is 804945903242094.

490242309549408 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 42 + 3 + 0 + 9 + 549 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490242309549403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3315039628 + ... + 3315187508.

It is an arithmetic number, because the mean of its divisors is an integer number (3323481508809).

Almost surely, 2^{490242309549408} is an apocalyptic number.

490242309549408 is a gapful number since it is divisible by the number (48) 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 490242309549408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797635562114160).

490242309549408 is an abundant number, since it is smaller than the sum of its proper divisors (1105028814678912).

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

490242309549408 is a wasteful number, since it uses less digits than its factorization.

490242309549408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150612 (or 150595 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 490242309549408 in words is "four hundred ninety trillion, two hundred forty-two billion, three hundred nine million, five hundred forty-nine thousand, four hundred eight".