484985685600 has 1440 divisors, whose sum is σ = 2028170501280. Its totient is φ = 111795240960.

The previous prime is 484985685553. The next prime is 484985685623. The reversal of 484985685600 is 6586589484.

484985685600 is a `hidden beast` number, since 4 + 8 + 4 + 9 + 8 + 5 + 68 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×484985685600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2512879104 + ... + 2512879296.

It is an arithmetic number, because the mean of its divisors is an integer number (1408451737).

Almost surely, 2^484985685600 is an apocalyptic number.

484985685600 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 484985685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014085250640).

484985685600 is an abundant number, since it is smaller than the sum of its proper divisors (1543184815680).

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

484985685600 is a wasteful number, since it uses less digits than its factorization.

484985685600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 484985685600 in words is "four hundred eighty-four billion, nine hundred eighty-five million, six hundred eighty-five thousand, six hundred".