484848000 has 768 divisors, whose sum is σ = 2200947840. Its totient is φ = 99532800.

The previous prime is 484847989. The next prime is 484848053. The reversal of 484848000 is 848484.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13103982 + ... + 13104018.

Almost surely, 2^484848000 is an apocalyptic number.

484848000 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 484848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100473920).

484848000 is an abundant number, since it is smaller than the sum of its proper divisors (1716099840).

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

484848000 is a wasteful number, since it uses less digits than its factorization.

484848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 484848000 is about 22019.2642928868. The cubic root of 484848000 is about 785.6007140056.

The spelling of 484848000 in words is "four hundred eighty-four million, eight hundred forty-eight thousand".