490107680 has 96 divisors (see below), whose sum is σ = 1187524800. Its totient is φ = 191093760.

The previous prime is 490107649. The next prime is 490107689. The reversal of 490107680 is 86701094.

It is a self number, because there is not a number n which added to its sum of digits gives 490107680.

It is not an unprimeable number, because it can be changed into a prime (490107689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1404146 + ... + 1404494.

It is an arithmetic number, because the mean of its divisors is an integer number (12370050).

Almost surely, 2^490107680 is an apocalyptic number.

490107680 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 490107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593762400).

490107680 is an abundant number, since it is smaller than the sum of its proper divisors (697417120).

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

490107680 is a wasteful number, since it uses less digits than its factorization.

490107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 490107680 is about 22138.3757308435. The cubic root of 490107680 is about 788.4312617816.

The spelling of 490107680 in words is "four hundred ninety million, one hundred seven thousand, six hundred eighty".