490010016 has 96 divisors (see below), whose sum is σ = 1319976000. Its totient is φ = 159105024.

The previous prime is 490009999. The next prime is 490010021. The reversal of 490010016 is 610010094.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 490009974 and 490010001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981735 + ... + 982233.

It is an arithmetic number, because the mean of its divisors is an integer number (13749750).

Almost surely, 2^490010016 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 490010016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659988000).

490010016 is an abundant number, since it is smaller than the sum of its proper divisors (829965984).

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

490010016 is a wasteful number, since it uses less digits than its factorization.

490010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 490010016 is about 22136.1698584014. The cubic root of 490010016 is about 788.3788879400.

The spelling of 490010016 in words is "four hundred ninety million, ten thousand, sixteen".