385454689 has 9 divisors (see below), whose sum is σ = 399795097. Its totient is φ = 371613424.

The previous prime is 385454633. The next prime is 385454701. The reversal of 385454689 is 986454583.

The square root of 385454689 is 19633.

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

It can be written as a sum of positive squares in 4 ways, for example, as 172528225 + 212926464 = 13135^2 + 14592^2 .

It is not a de Polignac number, because 385454689 - 2⁷ = 385454561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385454609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 569019 + ... + 569695.

Almost surely, 2^385454689 is an apocalyptic number.

385454689 is the 19633-rd square number.

385454689 is the 9817-th centered octagonal number.

It is an amenable number.

385454689 is a deficient number, since it is larger than the sum of its proper divisors (14340408).

385454689 is an frugal number, since it uses more digits than its factorization.

385454689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 706 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 52.

The cubic root of 385454689 is about 727.7649088199.

It can be divided in two parts, 38545 and 4689, that added together give a palindrome (43234).

The spelling of 385454689 in words is "three hundred eighty-five million, four hundred fifty-four thousand, six hundred eighty-nine".