488279512900 has 27 divisors (see below), whose sum is σ = 1059581706519. Its totient is φ = 195309010080.

The previous prime is 488279512883. The next prime is 488279512901. The reversal of 488279512900 is 9215972884.

The square root of 488279512900 is 698770.

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

It can be written as a sum of positive squares in 4 ways, for example, as 248069740356 + 240209772544 = 498066^2 + 490112^2 .

It is a super-2 number, since 2×488279512900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (488279512901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6952762 + ... + 7022638.

Almost surely, 2^488279512900 is an apocalyptic number.

488279512900 is the 698770-th square number.

It is an amenable number.

488279512900 is an abundant number, since it is smaller than the sum of its proper divisors (571302193619).

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

488279512900 is an frugal number, since it uses more digits than its factorization.

488279512900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139768 (or 69884 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 488279512900 in words is "four hundred eighty-eight billion, two hundred seventy-nine million, five hundred twelve thousand, nine hundred".