488804400 has 540 divisors, whose sum is σ = 2102122152. Its totient is φ = 104509440.

The previous prime is 488804387. The next prime is 488804401. The reversal of 488804400 is 4408884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (488804401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2998719 + ... + 2998881.

Almost surely, 2^488804400 is an apocalyptic number.

488804400 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 488804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051061076).

488804400 is an abundant number, since it is smaller than the sum of its proper divisors (1613317752).

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

488804400 is a wasteful number, since it uses less digits than its factorization.

488804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 488804400 is about 22108.9212762631. The cubic root of 488804400 is about 787.7317836247.

The spelling of 488804400 in words is "four hundred eighty-eight million, eight hundred four thousand, four hundred".