484787920410000 has 675 divisors, whose sum is σ = 1772845710202567. Its totient is φ = 123617297760000.

The previous prime is 484787920409993. The next prime is 484787920410007. The reversal of 484787920410000 is 14029787484.

The square root of 484787920410000 is 22017900.

It is a perfect power (a square), and thus also a powerful number.

484787920410000 is a `hidden beast` number, since 48 + 478 + 7 + 9 + 20 + 4 + 100 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (484787920409993) and next prime (484787920410007).

It can be written as a sum of positive squares in 2 ways, for example, as 38007372960144 + 446780547449856 = 6165012^2 + 21137184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (484787920410007) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 151923508405 + ... + 151923511595.

Almost surely, 2^{484787920410000} is an apocalyptic number.

484787920410000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

484787920410000 is the 22017900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484787920410000

484787920410000 is an abundant number, since it is smaller than the sum of its proper divisors (1288057789792567).

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

484787920410000 is an frugal number, since it uses more digits than its factorization.

484787920410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 484787920410000 in words is "four hundred eighty-four trillion, seven hundred eighty-seven billion, nine hundred twenty million, four hundred ten thousand".