488922592900 has 135 divisors (see below), whose sum is σ = 1238583346469. Its totient is φ = 167513132640.

The previous prime is 488922592883. The next prime is 488922592903. The reversal of 488922592900 is 9295229884.

The square root of 488922592900 is 699230.

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

It can be written as a sum of positive squares in only one way, i.e., 176012133444 + 312910459456 = 419538^2 + 559384^2 .

It is not an unprimeable number, because it can be changed into a prime (488922592903) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 342621987 + ... + 342623413.

Almost surely, 2^488922592900 is an apocalyptic number.

488922592900 is the 699230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488922592900

488922592900 is an abundant number, since it is smaller than the sum of its proper divisors (749660753569).

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

488922592900 is an frugal number, since it uses more digits than its factorization.

488922592900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 488922592900 in words is "four hundred eighty-eight billion, nine hundred twenty-two million, five hundred ninety-two thousand, nine hundred".