488978880 has 112 divisors (see below), whose sum is σ = 1671974304. Its totient is φ = 120360960.

The previous prime is 488978879. The next prime is 488978881. The reversal of 488978880 is 88879884.

It is an interprime number because it is at equal distance from previous prime (488978879) and next prime (488978881).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488978881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7111 + ... + 32070.

It is an arithmetic number, because the mean of its divisors is an integer number (14928342).

Almost surely, 2^488978880 is an apocalyptic number.

488978880 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 488978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835987152).

488978880 is an abundant number, since it is smaller than the sum of its proper divisors (1182995424).

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

488978880 is a wasteful number, since it uses less digits than its factorization.

488978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39214 (or 39204 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 60.

The square root of 488978880 is about 22112.8668426326. The cubic root of 488978880 is about 787.8255001101.

The spelling of 488978880 in words is "four hundred eighty-eight million, nine hundred seventy-eight thousand, eight hundred eighty".