484061364172800 has 432 divisors, whose sum is σ = 1734140575243440. Its totient is φ = 129042186240000.

The previous prime is 484061364172783. The next prime is 484061364172801. The reversal of 484061364172800 is 8271463160484.

484061364172800 is a `hidden beast` number, since 4 + 8 + 4 + 0 + 613 + 6 + 4 + 17 + 2 + 8 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484061364172801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1470248200 + ... + 1470577400.

It is an arithmetic number, because the mean of its divisors is an integer number (4014214294545).

Almost surely, 2^{484061364172800} is an apocalyptic number.

484061364172800 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 484061364172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867070287621720).

484061364172800 is an abundant number, since it is smaller than the sum of its proper divisors (1250079211070640).

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

484061364172800 is a wasteful number, since it uses less digits than its factorization.

484061364172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332430 (or 332402 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 484061364172800 in words is "four hundred eighty-four trillion, sixty-one billion, three hundred sixty-four million, one hundred seventy-two thousand, eight hundred".