484791091200 has 1020 divisors, whose sum is σ = 1941023623308. Its totient is φ = 118908518400.

The previous prime is 484791091193. The next prime is 484791091219. The reversal of 484791091200 is 2190197484.

It is a happy number.

484791091200 is a `hidden beast` number, since 48 + 479 + 10 + 9 + 120 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 29068886016 + 455722205184 = 170496^2 + 675072^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1725235060 + ... + 1725235340.

Almost surely, 2^484791091200 is an apocalyptic number.

484791091200 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 484791091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970511811654).

484791091200 is an abundant number, since it is smaller than the sum of its proper divisors (1456232532108).

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

484791091200 is an equidigital number, since it uses as much as digits as its factorization.

484791091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 484791091200 in words is "four hundred eighty-four billion, seven hundred ninety-one million, ninety-one thousand, two hundred".