407345541 has 12 divisors (see below), whose sum is σ = 573219072. Its totient is φ = 257270184.

The previous prime is 407345507. The next prime is 407345557. The reversal of 407345541 is 145543704.

It is not a de Polignac number, because 407345541 - 2¹⁰ = 407344517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407345501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186981 + ... + 189146.

It is an arithmetic number, because the mean of its divisors is an integer number (47768256).

Almost surely, 2^407345541 is an apocalyptic number.

It is an amenable number.

407345541 is a deficient number, since it is larger than the sum of its proper divisors (165873531).

407345541 is a wasteful number, since it uses less digits than its factorization.

407345541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376168 (or 376149 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 407345541 is about 20182.8031006597. The cubic root of 407345541 is about 741.2891705046.

The spelling of 407345541 in words is "four hundred seven million, three hundred forty-five thousand, five hundred forty-one".