488125008 has 320 divisors, whose sum is σ = 1706557440. Its totient is φ = 130636800.

The previous prime is 488125003. The next prime is 488125009. The reversal of 488125008 is 800521884.

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 (488125003) 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, 3843441 + ... + 3843567.

It is an arithmetic number, because the mean of its divisors is an integer number (5332992).

Almost surely, 2^488125008 is an apocalyptic number.

488125008 is a gapful number since it is divisible by the number (48) 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 488125008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853278720).

488125008 is an abundant number, since it is smaller than the sum of its proper divisors (1218432432).

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

488125008 is a wasteful number, since it uses less digits than its factorization.

488125008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 488125008 is about 22093.5512763340. The cubic root of 488125008 is about 787.3666567881.

488125008 divided by its sum of digits (36) gives a triangular number (13559028 = T₅₂₀₇).

The spelling of 488125008 in words is "four hundred eighty-eight million, one hundred twenty-five thousand, eight".