488289600 has 336 divisors, whose sum is σ = 1814169600. Its totient is φ = 127733760.

The previous prime is 488289491. The next prime is 488289619. The reversal of 488289600 is 6982884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3844737 + ... + 3844863.

Almost surely, 2^488289600 is an apocalyptic number.

488289600 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 488289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907084800).

488289600 is an abundant number, since it is smaller than the sum of its proper divisors (1325880000).

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

488289600 is a wasteful number, since it uses less digits than its factorization.

488289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 488289600 is about 22097.2758502038. The cubic root of 488289600 is about 787.4551448374.

The spelling of 488289600 in words is "four hundred eighty-eight million, two hundred eighty-nine thousand, six hundred".