484788480 has 288 divisors, whose sum is σ = 1766016000. Its totient is φ = 112189440.

The previous prime is 484788461. The next prime is 484788481. The reversal of 484788480 is 84887484.

It is not an unprimeable number, because it can be changed into a prime (484788481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971271 + ... + 971769.

It is an arithmetic number, because the mean of its divisors is an integer number (6132000).

Almost surely, 2^484788480 is an apocalyptic number.

484788480 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 484788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883008000).

484788480 is an abundant number, since it is smaller than the sum of its proper divisors (1281227520).

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

484788480 is a wasteful number, since it uses less digits than its factorization.

484788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 51.

The square root of 484788480 is about 22017.9127076115. The cubic root of 484788480 is about 785.5685658767.

The spelling of 484788480 in words is "four hundred eighty-four million, seven hundred eighty-eight thousand, four hundred eighty".