248555600 has 30 divisors (see below), whose sum is σ = 597155790. Its totient is φ = 99422080.

The previous prime is 248555569. The next prime is 248555621. The reversal of 248555600 is 6555842.

It can be written as a sum of positive squares in 3 ways, for example, as 17272336 + 231283264 = 4156^2 + 15208^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 310295 + ... + 311094.

It is an arithmetic number, because the mean of its divisors is an integer number (19905193).

Almost surely, 2^248555600 is an apocalyptic number.

248555600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248555600 is an abundant number, since it is smaller than the sum of its proper divisors (348600190).

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

248555600 is a wasteful number, since it uses less digits than its factorization.

248555600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621407 (or 621396 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 248555600 is about 15765.6461967152. The cubic root of 248555600 is about 628.7449609426.

It can be divided in two parts, 2485 and 55600, that added together give a palindrome (58085).

The spelling of 248555600 in words is "two hundred forty-eight million, five hundred fifty-five thousand, six hundred".