488064480 has 96 divisors (see below), whose sum is σ = 1543909248. Its totient is φ = 129600000.

The previous prime is 488064433. The next prime is 488064481. The reversal of 488064480 is 84460884.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488064481) 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, 118455 + ... + 122505.

It is an arithmetic number, because the mean of its divisors is an integer number (16082388).

Almost surely, 2^488064480 is an apocalyptic number.

488064480 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 488064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771954624).

488064480 is an abundant number, since it is smaller than the sum of its proper divisors (1055844768).

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

488064480 is a wasteful number, since it uses less digits than its factorization.

488064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 488064480 is about 22092.1814223947. The cubic root of 488064480 is about 787.3341106860.

The spelling of 488064480 in words is "four hundred eighty-eight million, sixty-four thousand, four hundred eighty".