488434100 has 144 divisors (see below), whose sum is σ = 1331998080. Its totient is φ = 151027200.

The previous prime is 488434097. The next prime is 488434127. The reversal of 488434100 is 1434884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1763162 + ... + 1763438.

Almost surely, 2^488434100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665999040).

488434100 is an abundant number, since it is smaller than the sum of its proper divisors (843563980).

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

488434100 is a wasteful number, since it uses less digits than its factorization.

488434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 488434100 is about 22100.5452421428. The cubic root of 488434100 is about 787.5328146232.

Adding to 488434100 its reverse (1434884), we get a palindrome (489868984).

The spelling of 488434100 in words is "four hundred eighty-eight million, four hundred thirty-four thousand, one hundred".