36401409 has 48 divisors (see below), whose sum is σ = 61401600. Its totient is φ = 20563200.

The previous prime is 36401389. The next prime is 36401411. The reversal of 36401409 is 90410463.

36401409 is a `hidden beast` number, since 3 + 640 + 14 + 0 + 9 = 666.

It is not a de Polignac number, because 36401409 - 2²⁰ = 35352833 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36401429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88797 + ... + 89205.

It is an arithmetic number, because the mean of its divisors is an integer number (1279200).

Almost surely, 2^36401409 is an apocalyptic number.

It is an amenable number.

36401409 is a deficient number, since it is larger than the sum of its proper divisors (25000191).

36401409 is a wasteful number, since it uses less digits than its factorization.

36401409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36401409 is about 6033.3580202073. The cubic root of 36401409 is about 331.4154353886.

The spelling of 36401409 in words is "thirty-six million, four hundred one thousand, four hundred nine".