490830345600 has 768 divisors, whose sum is σ = 1923305472000. Its totient is φ = 107686010880.

The previous prime is 490830345547. The next prime is 490830345611. The reversal of 490830345600 is 6543038094.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 170484961 + ... + 170487839.

It is an arithmetic number, because the mean of its divisors is an integer number (2504304000).

Almost surely, 2^490830345600 is an apocalyptic number.

490830345600 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 490830345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961652736000).

490830345600 is an abundant number, since it is smaller than the sum of its proper divisors (1432475126400).

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

490830345600 is a wasteful number, since it uses less digits than its factorization.

490830345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 490830345600 in words is "four hundred ninety billion, eight hundred thirty million, three hundred forty-five thousand, six hundred".