384120801 has 27 divisors (see below), whose sum is σ = 571005201. Its totient is φ = 248828904.

The previous prime is 384120749. The next prime is 384120811. The reversal of 384120801 is 108021483.

The square root of 384120801 is 19599.

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

It is not a de Polignac number, because 384120801 - 2¹³ = 384112609 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (384120811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2763390 + ... + 2763528.

Almost surely, 2^384120801 is an apocalyptic number.

384120801 is the 19599-th square number.

384120801 is the 9800-th centered octagonal number.

It is an amenable number.

384120801 is a deficient number, since it is larger than the sum of its proper divisors (186884400).

384120801 is an equidigital number, since it uses as much as digits as its factorization.

384120801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The cubic root of 384120801 is about 726.9244478865.

It can be divided in two parts, 3841 and 20801, that added together give a palindrome (24642).

The spelling of 384120801 in words is "three hundred eighty-four million, one hundred twenty thousand, eight hundred one".