406206129 has 24 divisors (see below), whose sum is σ = 632156448. Its totient is φ = 231336000.

The previous prime is 406206127. The next prime is 406206191. The reversal of 406206129 is 921602604.

It is not a de Polignac number, because 406206129 - 2¹ = 406206127 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 406206096 and 406206105.

It is not an unprimeable number, because it can be changed into a prime (406206127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40629 + ... + 49629.

It is an arithmetic number, because the mean of its divisors is an integer number (26339852).

Almost surely, 2^406206129 is an apocalyptic number.

406206129 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

406206129 is a deficient number, since it is larger than the sum of its proper divisors (225950319).

406206129 is a wasteful number, since it uses less digits than its factorization.

406206129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9325 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 406206129 is about 20154.5560357950. The cubic root of 406206129 is about 740.5973561083.

The spelling of 406206129 in words is "four hundred six million, two hundred six thousand, one hundred twenty-nine".