490307840 has 144 divisors (see below), whose sum is σ = 1298021760. Its totient is φ = 175964160.

The previous prime is 490307827. The next prime is 490307899. The reversal of 490307840 is 48703094.

It is a self number, because there is not a number n which added to its sum of digits gives 490307840.

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, 1365581 + ... + 1365939.

It is an arithmetic number, because the mean of its divisors is an integer number (9014040).

Almost surely, 2^490307840 is an apocalyptic number.

490307840 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 490307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649010880).

490307840 is an abundant number, since it is smaller than the sum of its proper divisors (807713920).

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

490307840 is a wasteful number, since it uses less digits than its factorization.

490307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 490307840 is about 22142.8959262333. The cubic root of 490307840 is about 788.5385789619.

The spelling of 490307840 in words is "four hundred ninety million, three hundred seven thousand, eight hundred forty".