488778469200 has 540 divisors, whose sum is σ = 1980301609728. Its totient is φ = 111314649600.

The previous prime is 488778469171. The next prime is 488778469219. The reversal of 488778469200 is 2964877884.

488778469200 is a `hidden beast` number, since 4 + 8 + 87 + 78 + 469 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 49916305 + ... + 49926095.

Almost surely, 2^488778469200 is an apocalyptic number.

488778469200 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 488778469200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990150804864).

488778469200 is an abundant number, since it is smaller than the sum of its proper divisors (1491523140528).

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

488778469200 is a wasteful number, since it uses less digits than its factorization.

488778469200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10112 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 488778469200 in words is "four hundred eighty-eight billion, seven hundred seventy-eight million, four hundred sixty-nine thousand, two hundred".