407081541 has 16 divisors (see below), whose sum is σ = 575334144. Its totient is φ = 255143424.

The previous prime is 407081471. The next prime is 407081561. The reversal of 407081541 is 145180704.

It is not a de Polignac number, because 407081541 - 2⁷ = 407081413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 407081499 and 407081508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407081561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48820 + ... + 56546.

It is an arithmetic number, because the mean of its divisors is an integer number (35958384).

Almost surely, 2^407081541 is an apocalyptic number.

It is an amenable number.

407081541 is a deficient number, since it is larger than the sum of its proper divisors (168252603).

407081541 is a wasteful number, since it uses less digits than its factorization.

407081541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 407081541 is about 20176.2618192766. The cubic root of 407081541 is about 741.1289931169.

The spelling of 407081541 in words is "four hundred seven million, eighty-one thousand, five hundred forty-one".