248432464900 has 27 divisors (see below), whose sum is σ = 539109264981. Its totient is φ = 99370992240.

The previous prime is 248432464897. The next prime is 248432464901. The reversal of 248432464900 is 9464234842.

It is a happy number.

The square root of 248432464900 is 498430.

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

248432464900 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., 89435687364 + 158996777536 = 299058^2 + 398744^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248432464901) 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 8 ways as a sum of consecutive naturals, for example, 4959379 + ... + 5009221.

Almost surely, 2^248432464900 is an apocalyptic number.

248432464900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

248432464900 is the 498430-th square number.

It is an amenable number.

248432464900 is an abundant number, since it is smaller than the sum of its proper divisors (290676800081).

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

248432464900 is an frugal number, since it uses more digits than its factorization.

248432464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99700 (or 49850 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 248432464900 in words is "two hundred forty-eight billion, four hundred thirty-two million, four hundred sixty-four thousand, nine hundred".