490921680 has 80 divisors (see below), whose sum is σ = 1528562880. Its totient is φ = 130335744.

The previous prime is 490921679. The next prime is 490921693. The reversal of 490921680 is 86129094.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 51531 + ... + 60309.

It is an arithmetic number, because the mean of its divisors is an integer number (19107036).

Almost surely, 2^490921680 is an apocalyptic number.

490921680 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 490921680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764281440).

490921680 is an abundant number, since it is smaller than the sum of its proper divisors (1037641200).

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

490921680 is a wasteful number, since it uses less digits than its factorization.

490921680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9028 (or 9022 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 490921680 is about 22156.7524696197. The cubic root of 490921680 is about 788.8675115399.

The spelling of 490921680 in words is "four hundred ninety million, nine hundred twenty-one thousand, six hundred eighty".