488430720 has 192 divisors, whose sum is σ = 1775779200. Its totient is φ = 123365376.

The previous prime is 488430703. The next prime is 488430751. The reversal of 488430720 is 27034884.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107209 + ... + 111671.

It is an arithmetic number, because the mean of its divisors is an integer number (9248850).

Almost surely, 2^488430720 is an apocalyptic number.

488430720 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 488430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887889600).

488430720 is an abundant number, since it is smaller than the sum of its proper divisors (1287348480).

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

488430720 is a wasteful number, since it uses less digits than its factorization.

488430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4492 counting only the distinct ones).

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

The square root of 488430720 is about 22100.4687733089. The cubic root of 488430720 is about 787.5309980240.

The spelling of 488430720 in words is "four hundred eighty-eight million, four hundred thirty thousand, seven hundred twenty".