488088000 has 168 divisors, whose sum is σ = 1746229680. Its totient is φ = 130137600.

The previous prime is 488087987. The next prime is 488088047. The reversal of 488088000 is 880884.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68611 + ... + 75389.

Almost surely, 2^488088000 is an apocalyptic number.

488088000 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 488088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873114840).

488088000 is an abundant number, since it is smaller than the sum of its proper divisors (1258141680).

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

488088000 is a wasteful number, since it uses less digits than its factorization.

488088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 488088000 is about 22092.7137310019. The cubic root of 488088000 is about 787.3467577860.

The spelling of 488088000 in words is "four hundred eighty-eight million, eighty-eight thousand".