406401013 has 16 divisors (see below), whose sum is σ = 432875520. Its totient is φ = 380468016.

The previous prime is 406400999. The next prime is 406401019. The reversal of 406401013 is 310104604.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 406401013 - 2¹³ = 406392821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406401019) 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 15 ways as a sum of consecutive naturals, for example, 834256 + ... + 834742.

It is an arithmetic number, because the mean of its divisors is an integer number (27054720).

Almost surely, 2^406401013 is an apocalyptic number.

It is an amenable number.

406401013 is a deficient number, since it is larger than the sum of its proper divisors (26474507).

406401013 is a wasteful number, since it uses less digits than its factorization.

406401013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 406401013 is about 20159.3901941502. The cubic root of 406401013 is about 740.7157750499.

Adding to 406401013 its reverse (310104604), we get a palindrome (716505617).

The spelling of 406401013 in words is "four hundred six million, four hundred one thousand, thirteen".