490749874560 has 512 divisors, whose sum is σ = 2007626342400. Its totient is φ = 111970713600.

The previous prime is 490749874523. The next prime is 490749874579. The reversal of 490749874560 is 65478947094.

490749874560 is a `hidden beast` number, since 4 + 90 + 7 + 4 + 98 + 7 + 456 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3155425 + ... + 3307295.

It is an arithmetic number, because the mean of its divisors is an integer number (3921145200).

Almost surely, 2^490749874560 is an apocalyptic number.

490749874560 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 490749874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003813171200).

490749874560 is an abundant number, since it is smaller than the sum of its proper divisors (1516876467840).

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

490749874560 is a wasteful number, since it uses less digits than its factorization.

490749874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151927 (or 151909 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 490749874560 in words is "four hundred ninety billion, seven hundred forty-nine million, eight hundred seventy-four thousand, five hundred sixty".