484181280 has 384 divisors, whose sum is σ = 1933424640. Its totient is φ = 112020480.

The previous prime is 484181279. The next prime is 484181287. The reversal of 484181280 is 82181484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484181287) 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 63 ways as a sum of consecutive naturals, for example, 1092739 + ... + 1093181.

It is an arithmetic number, because the mean of its divisors is an integer number (5034960).

Almost surely, 2^484181280 is an apocalyptic number.

484181280 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 484181280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966712320).

484181280 is an abundant number, since it is smaller than the sum of its proper divisors (1449243360).

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

484181280 is a wasteful number, since it uses less digits than its factorization.

484181280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 484181280 is about 22004.1196142904. The cubic root of 484181280 is about 785.2404526625.

The spelling of 484181280 in words is "four hundred eighty-four million, one hundred eighty-one thousand, two hundred eighty".