484670524800 has 768 divisors, whose sum is σ = 2031066432000. Its totient is φ = 100703232000.

The previous prime is 484670524729. The next prime is 484670524823. The reversal of 484670524800 is 8425076484.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 484670524800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36214110 + ... + 36227490.

It is an arithmetic number, because the mean of its divisors is an integer number (2644617750).

Almost surely, 2^484670524800 is an apocalyptic number.

484670524800 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 484670524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015533216000).

484670524800 is an abundant number, since it is smaller than the sum of its proper divisors (1546395907200).

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

484670524800 is a wasteful number, since it uses less digits than its factorization.

484670524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13440 (or 13409 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 484670524800 in words is "four hundred eighty-four billion, six hundred seventy million, five hundred twenty-four thousand, eight hundred".