488349900 has 108 divisors (see below), whose sum is σ = 1536948504. Its totient is φ = 129696000.

The previous prime is 488349899. The next prime is 488349923. The reversal of 488349900 is 9943884.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 251935 + ... + 253865.

Almost surely, 2^488349900 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 488349900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768474252).

488349900 is an abundant number, since it is smaller than the sum of its proper divisors (1048598604).

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

488349900 is a wasteful number, since it uses less digits than its factorization.

488349900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 488349900 is about 22098.6402296612. The cubic root of 488349900 is about 787.4875583824.

The spelling of 488349900 in words is "four hundred eighty-eight million, three hundred forty-nine thousand, nine hundred".