484896000 has 144 divisors (see below), whose sum is σ = 1610900928. Its totient is φ = 129280000.

The previous prime is 484895969. The next prime is 484896007. The reversal of 484896000 is 698484.

It is a self number, because there is not a number n which added to its sum of digits gives 484896000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484896007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93475 + ... + 98525.

It is an arithmetic number, because the mean of its divisors is an integer number (11186812).

Almost surely, 2^484896000 is an apocalyptic number.

484896000 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 484896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805450464).

484896000 is an abundant number, since it is smaller than the sum of its proper divisors (1126004928).

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

484896000 is an equidigital number, since it uses as much as digits as its factorization.

484896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 484896000 is about 22020.3542205842. The cubic root of 484896000 is about 785.6266379996.

The spelling of 484896000 in words is "four hundred eighty-four million, eight hundred ninety-six thousand".