1409454585 has 72 divisors (see below), whose sum is σ = 3069044160. Its totient is φ = 585731520.

The previous prime is 1409454569. The next prime is 1409454617. The reversal of 1409454585 is 5854549041.

1409454585 is a `hidden beast` number, since 14 + 0 + 9 + 4 + 54 + 585 = 666.

It is not a de Polignac number, because 1409454585 - 2⁴ = 1409454569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1409454585.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19626 + ... + 56604.

Almost surely, 2^1409454585 is an apocalyptic number.

1409454585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1409454585 is an abundant number, since it is smaller than the sum of its proper divisors (1659589575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1409454585 is a wasteful number, since it uses less digits than its factorization.

1409454585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37019 (or 37005 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 1409454585 is about 37542.7034854977. The cubic root of 1409454585 is about 1121.2015657501.

It can be divided in two parts, 140945 and 4585, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 1409454585 in words is "one billion, four hundred nine million, four hundred fifty-four thousand, five hundred eighty-five".