364765401 has 96 divisors (see below), whose sum is σ = 745006080. Its totient is φ = 165628800.

The previous prime is 364765399. The next prime is 364765417. The reversal of 364765401 is 104567463.

It is a happy number.

364765401 is a `hidden beast` number, since 3 + 647 + 6 + 5 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 364765401 - 2¹ = 364765399 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (364765201) 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 95 ways as a sum of consecutive naturals, for example, 170106 + ... + 172236.

It is an arithmetic number, because the mean of its divisors is an integer number (7760480).

Almost surely, 2^364765401 is an apocalyptic number.

It is an amenable number.

364765401 is an abundant number, since it is smaller than the sum of its proper divisors (380240679).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

364765401 is a wasteful number, since it uses less digits than its factorization.

364765401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 364765401 is about 19098.8324512259. The cubic root of 364765401 is about 714.5038049148.

The spelling of 364765401 in words is "three hundred sixty-four million, seven hundred sixty-five thousand, four hundred one".