490942744320 has 864 divisors, whose sum is σ = 1993930960896. Its totient is φ = 102187008000.

The previous prime is 490942744273. The next prime is 490942744339. The reversal of 490942744320 is 23447249094.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 490942744320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99157845 + ... + 99162795.

It is an arithmetic number, because the mean of its divisors is an integer number (2307790464).

Almost surely, 2^490942744320 is an apocalyptic number.

490942744320 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 490942744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996965480448).

490942744320 is an abundant number, since it is smaller than the sum of its proper divisors (1502988216576).

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

490942744320 is a wasteful number, since it uses less digits than its factorization.

490942744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 490942744320 in words is "four hundred ninety billion, nine hundred forty-two million, seven hundred forty-four thousand, three hundred twenty".