1085405409 has 24 divisors (see below), whose sum is σ = 1810946592. Its totient is φ = 619125120.

The previous prime is 1085405407. The next prime is 1085405413. The reversal of 1085405409 is 9045045801.

1085405409 is a `hidden beast` number, since 108 + 5 + 4 + 0 + 540 + 9 = 666.

It is not a de Polignac number, because 1085405409 - 2¹ = 1085405407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1085405401) 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, 320779 + ... + 324144.

It is an arithmetic number, because the mean of its divisors is an integer number (75456108).

Almost surely, 2^1085405409 is an apocalyptic number.

It is an amenable number.

1085405409 is a deficient number, since it is larger than the sum of its proper divisors (725541183).

1085405409 is a wasteful number, since it uses less digits than its factorization.

1085405409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644957 (or 644954 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1085405409 is about 32945.4914821437. The cubic root of 1085405409 is about 1027.6944090204.

The spelling of 1085405409 in words is "one billion, eighty-five million, four hundred five thousand, four hundred nine".