484308720 has 240 divisors, whose sum is σ = 1928209920. Its totient is φ = 110668032.

The previous prime is 484308709. The next prime is 484308731. The reversal of 484308720 is 27803484.

It is an interprime number because it is at equal distance from previous prime (484308709) and next prime (484308731).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134301 + ... + 137859.

It is an arithmetic number, because the mean of its divisors is an integer number (8034208).

Almost surely, 2^484308720 is an apocalyptic number.

484308720 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 484308720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964104960).

484308720 is an abundant number, since it is smaller than the sum of its proper divisors (1443901200).

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

484308720 is a wasteful number, since it uses less digits than its factorization.

484308720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 484308720 is about 22007.0152451440. The cubic root of 484308720 is about 785.3093402665.

The spelling of 484308720 in words is "four hundred eighty-four million, three hundred eight thousand, seven hundred twenty".