488434560 has 128 divisors (see below), whose sum is σ = 1579253760. Its totient is φ = 128378880.

The previous prime is 488434537. The next prime is 488434579. The reversal of 488434560 is 65434884.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134529 + ... + 138111.

It is an arithmetic number, because the mean of its divisors is an integer number (12337920).

Almost surely, 2^488434560 is an apocalyptic number.

488434560 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 488434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789626880).

488434560 is an abundant number, since it is smaller than the sum of its proper divisors (1090819200).

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

488434560 is a wasteful number, since it uses less digits than its factorization.

488434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 488434560 is about 22100.5556491234. Note that the first 3 decimals coincide. The cubic root of 488434560 is about 787.5330618520.

The spelling of 488434560 in words is "four hundred eighty-eight million, four hundred thirty-four thousand, five hundred sixty".