484468992000 has 3072 divisors, whose sum is σ = 2354946048000. Its totient is φ = 95551488000.

The previous prime is 484468991999. The next prime is 484468992013. The reversal of 484468992000 is 299864484.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15628031985 + ... + 15628032015.

It is an arithmetic number, because the mean of its divisors is an integer number (766584000).

Almost surely, 2^484468992000 is an apocalyptic number.

484468992000 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 484468992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177473024000).

484468992000 is an abundant number, since it is smaller than the sum of its proper divisors (1870477056000).

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

484468992000 is a wasteful number, since it uses less digits than its factorization.

484468992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 484468992000 in words is "four hundred eighty-four billion, four hundred sixty-eight million, nine hundred ninety-two thousand".