484096804840000 has 945 divisors, whose sum is σ = 1347609263098791. Its totient is φ = 172356433920000.

The previous prime is 484096804839979. The next prime is 484096804840007. The reversal of 484096804840000 is 48408690484.

The square root of 484096804840000 is 22002200.

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

It can be written as a sum of positive squares in 22 ways, for example, as 476198636544576 + 7898168295424 = 21821976^2 + 2810368^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (484096804840007) 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, 3533553319932 + ... + 3533553320068.

Almost surely, 2^{484096804840000} is an apocalyptic number.

484096804840000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

484096804840000 is the 22002200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484096804840000

484096804840000 is an abundant number, since it is smaller than the sum of its proper divisors (863512458258791).

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

484096804840000 is an frugal number, since it uses more digits than its factorization.

484096804840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 55.

The spelling of 484096804840000 in words is "four hundred eighty-four trillion, ninety-six billion, eight hundred four million, eight hundred forty thousand".