248288805 has 24 divisors (see below), whose sum is σ = 434636280. Its totient is φ = 131107200.

The previous prime is 248288797. The next prime is 248288839. The reversal of 248288805 is 508882842.

248288805 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 4 ways, for example, as 103856481 + 144432324 = 10191^2 + 12018^2 .

It is not a de Polignac number, because 248288805 - 2³ = 248288797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22770 + ... + 31859.

It is an arithmetic number, because the mean of its divisors is an integer number (18109845).

Almost surely, 2^248288805 is an apocalyptic number.

It is an amenable number.

248288805 is a deficient number, since it is larger than the sum of its proper divisors (186347475).

248288805 is a wasteful number, since it uses less digits than its factorization.

248288805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54741 (or 54738 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 248288805 is about 15757.1826479228. The cubic root of 248288805 is about 628.5199193205.

It can be divided in two parts, 24828 and 8805, that added together give a palindrome (33633).

The spelling of 248288805 in words is "two hundred forty-eight million, two hundred eighty-eight thousand, eight hundred five".