488880000 has 480 divisors, whose sum is σ = 2029787760. Its totient is φ = 110592000.

The previous prime is 488879981. The next prime is 488880017. The reversal of 488880000 is 88884.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5039952 + ... + 5040048.

Almost surely, 2^488880000 is an apocalyptic number.

488880000 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 488880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014893880).

488880000 is an abundant number, since it is smaller than the sum of its proper divisors (1540907760).

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

488880000 is an equidigital number, since it uses as much as digits as its factorization.

488880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

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

The square root of 488880000 is about 22110.6309272259. The cubic root of 488880000 is about 787.7723925423.

The spelling of 488880000 in words is "four hundred eighty-eight million, eight hundred eighty thousand".