490529123424 has 216 divisors, whose sum is σ = 1454316442488. Its totient is φ = 162855567360.

The previous prime is 490529123369. The next prime is 490529123431. The reversal of 490529123424 is 424321925094.

490529123424 is a `hidden beast` number, since 4 + 90 + 52 + 91 + 2 + 3 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 490529123424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53953119 + ... + 53962209.

It is an arithmetic number, because the mean of its divisors is an integer number (6732946493).

Almost surely, 2^490529123424 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 490529123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727158221244).

490529123424 is an abundant number, since it is smaller than the sum of its proper divisors (963787319064).

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

490529123424 is an frugal number, since it uses more digits than its factorization.

490529123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 490529123424 in words is "four hundred ninety billion, five hundred twenty-nine million, one hundred twenty-three thousand, four hundred twenty-four".