364400385 has 32 divisors (see below), whose sum is σ = 614718720. Its totient is φ = 183963648.

The previous prime is 364400369. The next prime is 364400401. The reversal of 364400385 is 583004463.

It is an interprime number because it is at equal distance from previous prime (364400369) and next prime (364400401).

It is not a de Polignac number, because 364400385 - 2⁴ = 364400369 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28021 + ... + 38909.

It is an arithmetic number, because the mean of its divisors is an integer number (19209960).

Almost surely, 2^364400385 is an apocalyptic number.

It is an amenable number.

364400385 is a deficient number, since it is larger than the sum of its proper divisors (250318335).

364400385 is a wasteful number, since it uses less digits than its factorization.

364400385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11017.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 364400385 is about 19089.2740825837. The cubic root of 364400385 is about 714.2653938124.

The spelling of 364400385 in words is "three hundred sixty-four million, four hundred thousand, three hundred eighty-five".