484306542720 has 3584 divisors, whose sum is σ = 2508274460160. Its totient is φ = 85996339200.

The previous prime is 484306542677. The next prime is 484306542751. The reversal of 484306542720 is 27245603484.

It is a happy number.

484306542720 is a `hidden beast` number, since 4 + 8 + 4 + 30 + 6 + 542 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 7939451490 + ... + 7939451550.

It is an arithmetic number, because the mean of its divisors is an integer number (699853365).

Almost surely, 2^484306542720 is an apocalyptic number.

484306542720 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 484306542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254137230080).

484306542720 is an abundant number, since it is smaller than the sum of its proper divisors (2023967917440).

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

484306542720 is a wasteful number, since it uses less digits than its factorization.

484306542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 484306542720 in words is "four hundred eighty-four billion, three hundred six million, five hundred forty-two thousand, seven hundred twenty".