490076248704 has 512 divisors, whose sum is σ = 1556108736000. Its totient is φ = 136559001600.

The previous prime is 490076248691. The next prime is 490076248751. The reversal of 490076248704 is 407842670094.

It is a happy 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, 1454232024 + ... + 1454232360.

It is an arithmetic number, because the mean of its divisors is an integer number (3039274875).

Almost surely, 2^490076248704 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 490076248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778054368000).

490076248704 is an abundant number, since it is smaller than the sum of its proper divisors (1066032487296).

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

490076248704 is a wasteful number, since it uses less digits than its factorization.

490076248704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 490076248704 in words is "four hundred ninety billion, seventy-six million, two hundred forty-eight thousand, seven hundred four".