484346880 has 264 divisors, whose sum is σ = 1755048672. Its totient is φ = 123273216.

The previous prime is 484346869. The next prime is 484346887. The reversal of 484346880 is 88643484.

484346880 is a `hidden beast` number, since 484 + 34 + 68 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (484346887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059612 + ... + 1060068.

Almost surely, 2^484346880 is an apocalyptic number.

484346880 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 484346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877524336).

484346880 is an abundant number, since it is smaller than the sum of its proper divisors (1270701792).

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

484346880 is a wasteful number, since it uses less digits than its factorization.

484346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 484346880 is about 22007.8822243304. The cubic root of 484346880 is about 785.3299652770.

The spelling of 484346880 in words is "four hundred eighty-four million, three hundred forty-six thousand, eight hundred eighty".