407609541 has 12 divisors (see below), whose sum is σ = 589055532. Its totient is φ = 271607616.

The previous prime is 407609539. The next prime is 407609567. The reversal of 407609541 is 145906704.

407609541 is a `hidden beast` number, since 4 + 0 + 7 + 609 + 5 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95062500 + 312547041 = 9750^2 + 17679^2 .

It is not a de Polignac number, because 407609541 - 2¹ = 407609539 is a prime.

It is a super-2 number, since 2×407609541² = 332291075828461362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 407609496 and 407609505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407609581) 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, 10815 + ... + 30531.

It is an arithmetic number, because the mean of its divisors is an integer number (49087961).

Almost surely, 2^407609541 is an apocalyptic number.

It is an amenable number.

407609541 is a deficient number, since it is larger than the sum of its proper divisors (181445991).

407609541 is a wasteful number, since it uses less digits than its factorization.

407609541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22020 (or 22017 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 407609541 is about 20189.3422626890. The cubic root of 407609541 is about 741.4492787001.

The spelling of 407609541 in words is "four hundred seven million, six hundred nine thousand, five hundred forty-one".