488276880 has 320 divisors, whose sum is σ = 1893212160. Its totient is φ = 101357568.

The previous prime is 488276849. The next prime is 488276891. The reversal of 488276880 is 88672884.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1725219 + ... + 1725501.

It is an arithmetic number, because the mean of its divisors is an integer number (5916288).

Almost surely, 2^488276880 is an apocalyptic number.

488276880 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 488276880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946606080).

488276880 is an abundant number, since it is smaller than the sum of its proper divisors (1404935280).

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

488276880 is a wasteful number, since it uses less digits than its factorization.

488276880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The square root of 488276880 is about 22096.9880300461. The cubic root of 488276880 is about 787.4483070125.

The spelling of 488276880 in words is "four hundred eighty-eight million, two hundred seventy-six thousand, eight hundred eighty".