484303431247740 has 1152 divisors, whose sum is σ = 1745455690847232. Its totient is φ = 107592107950080.

The previous prime is 484303431247733. The next prime is 484303431247841. The reversal of 484303431247740 is 47742134303484.

484303431247740 is a `hidden beast` number, since 4 + 8 + 430 + 3 + 43 + 124 + 7 + 7 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 81354512604 + ... + 81354518556.

It is an arithmetic number, because the mean of its divisors is an integer number (1515152509416).

Almost surely, 2^{484303431247740} 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 484303431247740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872727845423616).

484303431247740 is an abundant number, since it is smaller than the sum of its proper divisors (1261152259599492).

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

484303431247740 is a wasteful number, since it uses less digits than its factorization.

484303431247740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6914 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 54.

The spelling of 484303431247740 in words is "four hundred eighty-four trillion, three hundred three billion, four hundred thirty-one million, two hundred forty-seven thousand, seven hundred forty".