413792541 has 12 divisors (see below), whose sum is σ = 612278940. Its totient is φ = 269133120.

The previous prime is 413792539. The next prime is 413792549. The reversal of 413792541 is 145297314.

413792541 is a `hidden beast` number, since 41 + 3 + 79 + 2 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 235008900 + 178783641 = 15330^2 + 13371^2 .

It is not a de Polignac number, because 413792541 - 2¹ = 413792539 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 413792496 and 413792505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413792549) 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, 560326 + ... + 561063.

It is an arithmetic number, because the mean of its divisors is an integer number (51023245).

Almost surely, 2^413792541 is an apocalyptic number.

413792541 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

413792541 is a deficient number, since it is larger than the sum of its proper divisors (198486399).

413792541 is a wasteful number, since it uses less digits than its factorization.

413792541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121436 (or 1121433 counting only the distinct ones).

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

The square root of 413792541 is about 20341.8912837524. The cubic root of 413792541 is about 745.1794778012.

The spelling of 413792541 in words is "four hundred thirteen million, seven hundred ninety-two thousand, five hundred forty-one".