484396080 has 320 divisors, whose sum is σ = 1810169856. Its totient is φ = 104832000.

The previous prime is 484396069. The next prime is 484396091. The reversal of 484396080 is 80693484.

It is a Cunningham number, because it is equal to 22009²-1.

It is an interprime number because it is at equal distance from previous prime (484396069) and next prime (484396091).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3697615 + ... + 3697745.

Almost surely, 2^484396080 is an apocalyptic number.

484396080 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 484396080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905084928).

484396080 is an abundant number, since it is smaller than the sum of its proper divisors (1325773776).

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

484396080 is a wasteful number, since it uses less digits than its factorization.

484396080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 484396080 is about 22008.9999772820. Note that the first 4 decimals coincide. The cubic root of 484396080 is about 785.3565556731.

The spelling of 484396080 in words is "four hundred eighty-four million, three hundred ninety-six thousand, eighty".