384785253 has 24 divisors (see below), whose sum is σ = 575978520. Its totient is φ = 247536576.

The previous prime is 384785243. The next prime is 384785267. The reversal of 384785253 is 352587483.

It can be written as a sum of positive squares in 4 ways, for example, as 27688644 + 357096609 = 5262^2 + 18897^2 .

It is not a de Polignac number, because 384785253 - 2¹⁷ = 384654181 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 384785199 and 384785208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384785213) 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 23 ways as a sum of consecutive naturals, for example, 218625 + ... + 220377.

It is an arithmetic number, because the mean of its divisors is an integer number (23999105).

Almost surely, 2^384785253 is an apocalyptic number.

It is an amenable number.

384785253 is a deficient number, since it is larger than the sum of its proper divisors (191193267).

384785253 is an equidigital number, since it uses as much as digits as its factorization.

384785253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1785 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 384785253 is about 19615.9438467793. The cubic root of 384785253 is about 727.3433509745.

The spelling of 384785253 in words is "three hundred eighty-four million, seven hundred eighty-five thousand, two hundred fifty-three".