488138784 has 144 divisors (see below), whose sum is σ = 1527525216. Its totient is φ = 136012800.

The previous prime is 488138779. The next prime is 488138813. The reversal of 488138784 is 487831884.

It is a nude number because it is divisible by every one of its digits.

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, 191599 + ... + 194129.

It is an arithmetic number, because the mean of its divisors is an integer number (10607814).

Almost surely, 2^488138784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488138784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763762608).

488138784 is an abundant number, since it is smaller than the sum of its proper divisors (1039386432).

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

488138784 is a wasteful number, since it uses less digits than its factorization.

488138784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2584 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The square root of 488138784 is about 22093.8630393148. The cubic root of 488138784 is about 787.3740638121.

The spelling of 488138784 in words is "four hundred eighty-eight million, one hundred thirty-eight thousand, seven hundred eighty-four".