540950409 has 24 divisors (see below), whose sum is σ = 829183680. Its totient is φ = 339099552.

The previous prime is 540950393. The next prime is 540950411. The reversal of 540950409 is 904059045.

540950409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 540950409 - 2⁴ = 540950393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540950419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9934 + ... + 34359.

It is an arithmetic number, because the mean of its divisors is an integer number (34549320).

Almost surely, 2^540950409 is an apocalyptic number.

540950409 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

It is an amenable number.

540950409 is a deficient number, since it is larger than the sum of its proper divisors (288233271).

540950409 is a wasteful number, since it uses less digits than its factorization.

540950409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44381 (or 44378 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 540950409 is about 23258.3406329858. The cubic root of 540950409 is about 814.8027469988.

The spelling of 540950409 in words is "five hundred forty million, nine hundred fifty thousand, four hundred nine".