484410080 has 288 divisors, whose sum is σ = 1498567392. Its totient is φ = 146227200.

The previous prime is 484410071. The next prime is 484410103. The reversal of 484410080 is 80014484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3535772 + ... + 3535908.

It is an arithmetic number, because the mean of its divisors is an integer number (5203359).

Almost surely, 2^484410080 is an apocalyptic number.

484410080 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 484410080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749283696).

484410080 is an abundant number, since it is smaller than the sum of its proper divisors (1014157312).

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

484410080 is a wasteful number, since it uses less digits than its factorization.

484410080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 484410080 is about 22009.3180266904. The cubic root of 484410080 is about 785.3641217169.

The spelling of 484410080 in words is "four hundred eighty-four million, four hundred ten thousand, eighty".