488441600 has 108 divisors (see below), whose sum is σ = 1218869904. Its totient is φ = 193781760.

The previous prime is 488441599. The next prime is 488441609. The reversal of 488441600 is 6144884.

It is a super-2 number, since 2×488441600² = 477150393221120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488441609) 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 11 ways as a sum of consecutive naturals, for example, 1068572 + ... + 1069028.

Almost surely, 2^488441600 is an apocalyptic number.

488441600 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 488441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609434952).

488441600 is an abundant number, since it is smaller than the sum of its proper divisors (730428304).

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

488441600 is a wasteful number, since it uses less digits than its factorization.

488441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 488441600 is about 22100.7149205631. The cubic root of 488441600 is about 787.5368455088.

The spelling of 488441600 in words is "four hundred eighty-eight million, four hundred forty-one thousand, six hundred".