406129541 has 16 divisors (see below), whose sum is σ = 458136000. Its totient is φ = 357735168.

The previous prime is 406129519. The next prime is 406129567. The reversal of 406129541 is 145921604.

It is a cyclic number.

It is not a de Polignac number, because 406129541 - 2¹⁴ = 406113157 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 406129498 and 406129507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406159541) 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, 19235 + ... + 34383.

It is an arithmetic number, because the mean of its divisors is an integer number (28633500).

Almost surely, 2^406129541 is an apocalyptic number.

It is an amenable number.

406129541 is a deficient number, since it is larger than the sum of its proper divisors (52006459).

406129541 is a wasteful number, since it uses less digits than its factorization.

406129541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15268.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 406129541 is about 20152.6559291821. The cubic root of 406129541 is about 740.5508079550.

The spelling of 406129541 in words is "four hundred six million, one hundred twenty-nine thousand, five hundred forty-one".