488265456600 has 720 divisors, whose sum is σ = 1778937256800. Its totient is φ = 124095628800.

The previous prime is 488265456593. The next prime is 488265456629. The reversal of 488265456600 is 6654562884.

488265456600 is a `hidden beast` number, since 4 + 8 + 8 + 26 + 5 + 4 + 5 + 6 + 600 = 666.

It is a super-2 number, since 2×488265456600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1229887602 + ... + 1229887998.

It is an arithmetic number, because the mean of its divisors is an integer number (2470746190).

Almost surely, 2^488265456600 is an apocalyptic number.

488265456600 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 488265456600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889468628400).

488265456600 is an abundant number, since it is smaller than the sum of its proper divisors (1290671800200).

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

488265456600 is a wasteful number, since it uses less digits than its factorization.

488265456600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 488265456600 in words is "four hundred eighty-eight billion, two hundred sixty-five million, four hundred fifty-six thousand, six hundred".