484086430631320 has 256 divisors, whose sum is σ = 1207765172275200. Its totient is φ = 173157310402560.

The previous prime is 484086430631303. The next prime is 484086430631329. The reversal of 484086430631320 is 23136034680484.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484086430631329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6244062397 + ... + 6244139923.

It is an arithmetic number, because the mean of its divisors is an integer number (4717832704200).

Almost surely, 2^{484086430631320} is an apocalyptic number.

484086430631320 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 484086430631320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603882586137600).

484086430631320 is an abundant number, since it is smaller than the sum of its proper divisors (723678741643880).

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

484086430631320 is a wasteful number, since it uses less digits than its factorization.

484086430631320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78458 (or 78454 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 52.

The spelling of 484086430631320 in words is "four hundred eighty-four trillion, eighty-six billion, four hundred thirty million, six hundred thirty-one thousand, three hundred twenty".