488106393600 has 768 divisors, whose sum is σ = 1954222243200. Its totient is φ = 104941486080.

The previous prime is 488106393581. The next prime is 488106393703. The reversal of 488106393600 is 6393601884.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 488106393600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292453566 + ... + 292455234.

Almost surely, 2^488106393600 is an apocalyptic number.

488106393600 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 488106393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977111121600).

488106393600 is an abundant number, since it is smaller than the sum of its proper divisors (1466115849600).

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

488106393600 is a wasteful number, since it uses less digits than its factorization.

488106393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 488106393600 in words is "four hundred eighty-eight billion, one hundred six million, three hundred ninety-three thousand, six hundred".