490050240 has 112 divisors (see below), whose sum is σ = 1560710112. Its totient is φ = 130277376.

The previous prime is 490050227. The next prime is 490050251. The reversal of 490050240 is 42050094.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 490050240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438162 + ... + 439278.

Almost surely, 2^490050240 is an apocalyptic number.

490050240 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 490050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780355056).

490050240 is an abundant number, since it is smaller than the sum of its proper divisors (1070659872).

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

490050240 is a wasteful number, since it uses less digits than its factorization.

490050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 490050240 is about 22137.0783980181. The cubic root of 490050240 is about 788.4004595295.

The spelling of 490050240 in words is "four hundred ninety million, fifty thousand, two hundred forty".