488268288 has 240 divisors, whose sum is σ = 1562685696. Its totient is φ = 145981440.

The previous prime is 488268283. The next prime is 488268299. The reversal of 488268288 is 882862884.

488268288 is a `hidden beast` number, since 488 + 2 + 6 + 82 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (488268283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1801593 + ... + 1801863.

Almost surely, 2^488268288 is an apocalyptic number.

488268288 is a gapful number since it is divisible by the number (48) 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 488268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781342848).

488268288 is an abundant number, since it is smaller than the sum of its proper divisors (1074417408).

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

488268288 is a wasteful number, since it uses less digits than its factorization.

488268288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 316 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 54.

The square root of 488268288 is about 22096.7936135540. The cubic root of 488268288 is about 787.4436881881.

The spelling of 488268288 in words is "four hundred eighty-eight million, two hundred sixty-eight thousand, two hundred eighty-eight".