484460101944 has 576 divisors, whose sum is σ = 1710724055040. Its totient is φ = 122628764160.

The previous prime is 484460101943. The next prime is 484460101949. The reversal of 484460101944 is 449101064484.

It is a happy number.

484460101944 is a `hidden beast` number, since 4 + 8 + 446 + 0 + 10 + 194 + 4 = 666.

It is a super-3 number, since 3×484460101944³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 484460101944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484460101943) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180565227 + ... + 180567909.

It is an arithmetic number, because the mean of its divisors is an integer number (2970007040).

Almost surely, 2^484460101944 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 484460101944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855362027520).

484460101944 is an abundant number, since it is smaller than the sum of its proper divisors (1226263953096).

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

484460101944 is a wasteful number, since it uses less digits than its factorization.

484460101944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 484460101944 in words is "four hundred eighty-four billion, four hundred sixty million, one hundred one thousand, nine hundred forty-four".