385504001 has 2 divisors, whose sum is σ = 385504002. Its totient is φ = 385504000.

The previous prime is 385503991. The next prime is 385504013. The reversal of 385504001 is 100405583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 367872400 + 17631601 = 19180^2 + 4199^2 .

It is a cyclic number.

It is not a de Polignac number, because 385504001 - 2²⁶ = 318395137 is a prime.

It is a super-2 number, since 2×385504001² = 297226669574016002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (385504061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192752000 + 192752001.

It is an arithmetic number, because the mean of its divisors is an integer number (192752001).

Almost surely, 2^385504001 is an apocalyptic number.

It is an amenable number.

385504001 is a deficient number, since it is larger than the sum of its proper divisors (1).

385504001 is an equidigital number, since it uses as much as digits as its factorization.

385504001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 385504001 is about 19634.2558045881. The cubic root of 385504001 is about 727.7959423100.

Adding to 385504001 its reverse (100405583), we get a palindrome (485909584).

The spelling of 385504001 in words is "three hundred eighty-five million, five hundred four thousand, one".