364406081 has 24 divisors (see below), whose sum is σ = 409980024. Its totient is φ = 323481600.

The previous prime is 364406059. The next prime is 364406093. The reversal of 364406081 is 180604463.

It can be written as a sum of positive squares in 12 ways, for example, as 2835856 + 361570225 = 1684^2 + 19015^2 .

It is not a de Polignac number, because 364406081 - 2¹⁸ = 364143937 is a prime.

It is a super-2 number, since 2×364406081² = 265583583739557122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (364400081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631265 + ... + 631841.

It is an arithmetic number, because the mean of its divisors is an integer number (17082501).

Almost surely, 2^364406081 is an apocalyptic number.

It is an amenable number.

364406081 is a deficient number, since it is larger than the sum of its proper divisors (45573943).

364406081 is a wasteful number, since it uses less digits than its factorization.

364406081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 364406081 is about 19089.4232757305. The cubic root of 364406081 is about 714.2691153914.

The spelling of 364406081 in words is "three hundred sixty-four million, four hundred six thousand, eighty-one".