248492280100 has 81 divisors (see below), whose sum is σ = 547007210001. Its totient is φ = 97983194400.

The previous prime is 248492280073. The next prime is 248492280109. The reversal of 248492280100 is 1082294842.

The square root of 248492280100 is 498490.

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

248492280100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 89457220836 + 159035059264 = 299094^2 + 398792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248492280109) 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 26 ways as a sum of consecutive naturals, for example, 393806785 + ... + 393807415.

Almost surely, 2^248492280100 is an apocalyptic number.

248492280100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

248492280100 is the 498490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248492280100

248492280100 is an abundant number, since it is smaller than the sum of its proper divisors (298514929901).

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

248492280100 is an frugal number, since it uses more digits than its factorization.

248492280100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 248492280100 in words is "two hundred forty-eight billion, four hundred ninety-two million, two hundred eighty thousand, one hundred".