488645280 has 144 divisors (see below), whose sum is σ = 1765678824. Its totient is φ = 122634240.

The previous prime is 488645279. The next prime is 488645291. The reversal of 488645280 is 82546884.

488645280 is a `hidden beast` number, since 48 + 86 + 4 + 528 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 486996624 + 1648656 = 22068^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14500 + ... + 34460.

Almost surely, 2^488645280 is an apocalyptic number.

488645280 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 488645280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882839412).

488645280 is an abundant number, since it is smaller than the sum of its proper divisors (1277033544).

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

488645280 is a wasteful number, since it uses less digits than its factorization.

488645280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19999 (or 19988 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 488645280 is about 22105.3224360107. The cubic root of 488645280 is about 787.6462978387.

The spelling of 488645280 in words is "four hundred eighty-eight million, six hundred forty-five thousand, two hundred eighty".