490096224 has 96 divisors (see below), whose sum is σ = 1438950240. Its totient is φ = 162279936.

The previous prime is 490096219. The next prime is 490096253. The reversal of 490096224 is 422690094.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 133842 + ... + 137454.

It is an arithmetic number, because the mean of its divisors is an integer number (14989065).

Almost surely, 2^490096224 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 490096224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719475120).

490096224 is an abundant number, since it is smaller than the sum of its proper divisors (948854016).

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

490096224 is a wasteful number, since it uses less digits than its factorization.

490096224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 490096224 is about 22138.1169930959. The cubic root of 490096224 is about 788.4251186834.

It can be divided in two parts, 4900 and 96224, that added together give a square (101124 = 318²).

The spelling of 490096224 in words is "four hundred ninety million, ninety-six thousand, two hundred twenty-four".