488306880 has 140 divisors (see below), whose sum is σ = 1737085680. Its totient is φ = 130208256.

The previous prime is 488306879. The next prime is 488306881. The reversal of 488306880 is 88603884.

488306880 is a `hidden beast` number, since 488 + 30 + 68 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (488306879) and next prime (488306881).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (488306881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16501 + ... + 35339.

Almost surely, 2^488306880 is an apocalyptic number.

488306880 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 488306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868542840).

488306880 is an abundant number, since it is smaller than the sum of its proper divisors (1248778800).

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

488306880 is a wasteful number, since it uses less digits than its factorization.

488306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18868 (or 18849 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 488306880 is about 22097.6668451672. Note that the first 3 decimals coincide. The cubic root of 488306880 is about 787.4644337679.

The spelling of 488306880 in words is "four hundred eighty-eight million, three hundred six thousand, eight hundred eighty".