406580838351 has 16 divisors (see below), whose sum is σ = 582080940288. Its totient is φ = 251516451200.

The previous prime is 406580838343. The next prime is 406580838371. The reversal of 406580838351 is 153838085604.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 406580838351 - 2³ = 406580838343 is a prime.

It is a super-2 number, since 2×406580838351² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 406580838294 and 406580838303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406580838371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56138445 + ... + 56145686.

It is an arithmetic number, because the mean of its divisors is an integer number (36380058768).

Almost surely, 2^406580838351 is an apocalyptic number.

406580838351 is a deficient number, since it is larger than the sum of its proper divisors (175500101937).

406580838351 is a wasteful number, since it uses less digits than its factorization.

406580838351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112284222.

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 406580838351 in words is "four hundred six billion, five hundred eighty million, eight hundred thirty-eight thousand, three hundred fifty-one".