488218752 has 360 divisors, whose sum is σ = 1746423855. Its totient is φ = 134991360.

The previous prime is 488218747. The next prime is 488218777. The reversal of 488218752 is 257812884.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 244109376 + 244109376 = 15624^2 + 15624^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15624.

It is a junction number, because it is equal to n+sod(n) for n = 488218698 and 488218707.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15748977 + ... + 15749007.

Almost surely, 2^488218752 is an apocalyptic number.

488218752 is a gapful number since it is divisible by the number (42) 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 488218752

488218752 is an abundant number, since it is smaller than the sum of its proper divisors (1258205103).

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

488218752 is an equidigital number, since it uses as much as digits as its factorization.

488218752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 43 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 488218752 is about 22095.6726985172. The cubic root of 488218752 is about 787.4170579312.

The spelling of 488218752 in words is "four hundred eighty-eight million, two hundred eighteen thousand, seven hundred fifty-two".