488117280 has 192 divisors, whose sum is σ = 1791030528. Its totient is φ = 109424640.

The previous prime is 488117233. The next prime is 488117291. The reversal of 488117280 is 82711884.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176710 + ... + 179450.

It is an arithmetic number, because the mean of its divisors is an integer number (9328284).

Almost surely, 2^488117280 is an apocalyptic number.

488117280 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 488117280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895515264).

488117280 is an abundant number, since it is smaller than the sum of its proper divisors (1302913248).

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

488117280 is a wasteful number, since it uses less digits than its factorization.

488117280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 488117280 is about 22093.3763829796. The cubic root of 488117280 is about 787.3625015672.

The spelling of 488117280 in words is "four hundred eighty-eight million, one hundred seventeen thousand, two hundred eighty".