488423688480 has 1920 divisors, whose sum is σ = 2272000389120. Its totient is φ = 95939665920.

The previous prime is 488423688457. The next prime is 488423688497. The reversal of 488423688480 is 84886324884.

488423688480 is a `hidden beast` number, since 4 + 8 + 8 + 42 + 36 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1590956487 + ... + 1590956793.

It is an arithmetic number, because the mean of its divisors is an integer number (1183333536).

Almost surely, 2^488423688480 is an apocalyptic number.

488423688480 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 488423688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136000194560).

488423688480 is an abundant number, since it is smaller than the sum of its proper divisors (1783576700640).

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

488423688480 is a wasteful number, since it uses less digits than its factorization.

488423688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 63.

The spelling of 488423688480 in words is "four hundred eighty-eight billion, four hundred twenty-three million, six hundred eighty-eight thousand, four hundred eighty".