484608000 has 192 divisors, whose sum is σ = 1614936960. Its totient is φ = 129024000.

The previous prime is 484607993. The next prime is 484608011. The reversal of 484608000 is 806484.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767685 + ... + 768315.

It is an arithmetic number, because the mean of its divisors is an integer number (8411130).

Almost surely, 2^484608000 is an apocalyptic number.

484608000 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 484608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807468480).

484608000 is an abundant number, since it is smaller than the sum of its proper divisors (1130328960).

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

484608000 is an equidigital number, since it uses as much as digits as its factorization.

484608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 484608000 is about 22013.8138449474. The cubic root of 484608000 is about 785.4710683642.

The spelling of 484608000 in words is "four hundred eighty-four million, six hundred eight thousand".