488252620800 has 2160 divisors, whose sum is σ = 2251124356320. Its totient is φ = 103054049280.

The previous prime is 488252620799. The next prime is 488252620813. The reversal of 488252620800 is 8026252884.

488252620800 is a `hidden beast` number, since 48 + 8 + 2 + 526 + 2 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9212313574 + ... + 9212313626.

It is an arithmetic number, because the mean of its divisors is an integer number (1042187202).

Almost surely, 2^488252620800 is an apocalyptic number.

488252620800 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 488252620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125562178160).

488252620800 is an abundant number, since it is smaller than the sum of its proper divisors (1762871735520).

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

488252620800 is a wasteful number, since it uses less digits than its factorization.

488252620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 488252620800 in words is "four hundred eighty-eight billion, two hundred fifty-two million, six hundred twenty thousand, eight hundred".