488349392400 has 405 divisors, whose sum is σ = 1791520224039. Its totient is φ = 123171217920.

The previous prime is 488349392357. The next prime is 488349392423. The reversal of 488349392400 is 4293943884.

The square root of 488349392400 is 698820.

It is a perfect power (a square), and thus also a powerful number.

488349392400 is a `hidden beast` number, since 488 + 34 + 9 + 3 + 92 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 285373913616 + 202975478784 = 534204^2 + 450528^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 796654494 + ... + 796655106.

Almost surely, 2^488349392400 is an apocalyptic number.

488349392400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

488349392400 is the 698820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488349392400

488349392400 is an abundant number, since it is smaller than the sum of its proper divisors (1303170831639).

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

488349392400 is a wasteful number, since it uses less digits than its factorization.

488349392400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 488349392400 in words is "four hundred eighty-eight billion, three hundred forty-nine million, three hundred ninety-two thousand, four hundred".