409958541 has 12 divisors (see below), whose sum is σ = 593452860. Its totient is φ = 272710080.

The previous prime is 409958537. The next prime is 409958543. The reversal of 409958541 is 145859904.

It can be written as a sum of positive squares in 2 ways, for example, as 57608100 + 352350441 = 7590^2 + 18771^2 .

It is not a de Polignac number, because 409958541 - 2² = 409958537 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409958543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45256 + ... + 53553.

It is an arithmetic number, because the mean of its divisors is an integer number (49454405).

Almost surely, 2^409958541 is an apocalyptic number.

It is an amenable number.

409958541 is a deficient number, since it is larger than the sum of its proper divisors (183494319).

409958541 is a wasteful number, since it uses less digits than its factorization.

409958541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99276 (or 99273 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 409958541 is about 20247.4329484011. The cubic root of 409958541 is about 742.8708428774.

The spelling of 409958541 in words is "four hundred nine million, nine hundred fifty-eight thousand, five hundred forty-one".