488827360 has 96 divisors (see below), whose sum is σ = 1332495360. Its totient is φ = 165990912.

The previous prime is 488827351. The next prime is 488827369. The reversal of 488827360 is 63728884.

It is an interprime number because it is at equal distance from previous prime (488827351) and next prime (488827369).

It is a self number, because there is not a number n which added to its sum of digits gives 488827360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488827369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117801 + ... + 121879.

It is an arithmetic number, because the mean of its divisors is an integer number (13880160).

Almost surely, 2^488827360 is an apocalyptic number.

488827360 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 488827360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666247680).

488827360 is an abundant number, since it is smaller than the sum of its proper divisors (843668000).

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

488827360 is a wasteful number, since it uses less digits than its factorization.

488827360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 488827360 is about 22109.4405175708. The cubic root of 488827360 is about 787.7441171460.

The spelling of 488827360 in words is "four hundred eighty-eight million, eight hundred twenty-seven thousand, three hundred sixty".