406541289 has 24 divisors (see below), whose sum is σ = 687879648. Its totient is φ = 211189440.

The previous prime is 406541273. The next prime is 406541297. The reversal of 406541289 is 982145604.

It is not a de Polignac number, because 406541289 - 2⁴ = 406541273 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (406541299) 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, 124092 + ... + 127325.

It is an arithmetic number, because the mean of its divisors is an integer number (28661652).

Almost surely, 2^406541289 is an apocalyptic number.

406541289 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

406541289 is a deficient number, since it is larger than the sum of its proper divisors (281338359).

406541289 is a wasteful number, since it uses less digits than its factorization.

406541289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251445 (or 251438 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 406541289 is about 20162.8690666780. The cubic root of 406541289 is about 740.8009886609.

It can be divided in two parts, 4065 and 41289, that added together give a palindrome (45354).

The spelling of 406541289 in words is "four hundred six million, five hundred forty-one thousand, two hundred eighty-nine".