488210814 has 288 divisors, whose sum is σ = 1463978880. Its totient is φ = 120512448.

The previous prime is 488210803. The next prime is 488210837. The reversal of 488210814 is 418012884.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5882017 + ... + 5882099.

It is an arithmetic number, because the mean of its divisors is an integer number (5083260).

Almost surely, 2^488210814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488210814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731989440).

488210814 is an abundant number, since it is smaller than the sum of its proper divisors (975768066).

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

488210814 is a wasteful number, since it uses less digits than its factorization.

488210814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

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

The square root of 488210814 is about 22095.4930698548. The cubic root of 488210814 is about 787.4127903425.

The spelling of 488210814 in words is "four hundred eighty-eight million, two hundred ten thousand, eight hundred fourteen".