407641131 has 6 divisors (see below), whose sum is σ = 588814980. Its totient is φ = 271760748.

The previous prime is 407641123. The next prime is 407641133. The reversal of 407641131 is 131146704.

It is a happy number.

407641131 is a `hidden beast` number, since 4 + 0 + 7 + 641 + 13 + 1 = 666.

It is not a de Polignac number, because 407641131 - 2³ = 407641123 is a prime.

It is a super-2 number, since 2×407641131² = 332342583365918322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 407641095 and 407641104.

It is not an unprimeable number, because it can be changed into a prime (407641133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22646721 + ... + 22646738.

It is an arithmetic number, because the mean of its divisors is an integer number (98135830).

Almost surely, 2^407641131 is an apocalyptic number.

407641131 is a deficient number, since it is larger than the sum of its proper divisors (181173849).

407641131 is a wasteful number, since it uses less digits than its factorization.

407641131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45293465 (or 45293462 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 407641131 is about 20190.1245909975. The cubic root of 407641131 is about 741.4684324696.

Adding to 407641131 its reverse (131146704), we get a palindrome (538787835).

The spelling of 407641131 in words is "four hundred seven million, six hundred forty-one thousand, one hundred thirty-one".