488133100 has 216 divisors, whose sum is σ = 1357621440. Its totient is φ = 150958080.

The previous prime is 488133073. The next prime is 488133131. The reversal of 488133100 is 1331884.

It is a super-2 number, since 2×488133100² = 476547846631220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5032252 + ... + 5032348.

Almost surely, 2^488133100 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 488133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678810720).

488133100 is an abundant number, since it is smaller than the sum of its proper divisors (869488340).

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

488133100 is a wasteful number, since it uses less digits than its factorization.

488133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 488133100 is about 22093.7344059351. The cubic root of 488133100 is about 787.3710076788.

Adding to 488133100 its reverse (1331884), we get a palindrome (489464984).

The spelling of 488133100 in words is "four hundred eighty-eight million, one hundred thirty-three thousand, one hundred".