488066480 has 80 divisors (see below), whose sum is σ = 1277918208. Its totient is φ = 171744000.

The previous prime is 488066479. The next prime is 488066489. The reversal of 488066480 is 84660884.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (488066489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18335 + ... + 36225.

Almost surely, 2^488066480 is an apocalyptic number.

488066480 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 488066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638959104).

488066480 is an abundant number, since it is smaller than the sum of its proper divisors (789851728).

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

488066480 is a wasteful number, since it uses less digits than its factorization.

488066480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17946 (or 17940 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 488066480 is about 22092.2266872310. The cubic root of 488066480 is about 787.3351861355.

The spelling of 488066480 in words is "four hundred eighty-eight million, sixty-six thousand, four hundred eighty".