1564416409 has 8 divisors (see below), whose sum is σ = 1579431240. Its totient is φ = 1549422336.

The previous prime is 1564416391. The next prime is 1564416419. The reversal of 1564416409 is 9046144651.

It can be written as a sum of positive squares in 4 ways, for example, as 23068809 + 1541347600 = 4803^2 + 39260^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1564416409 - 2¹¹ = 1564414361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1564416419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176127 + ... + 184795.

It is an arithmetic number, because the mean of its divisors is an integer number (197428905).

Almost surely, 2^1564416409 is an apocalyptic number.

It is an amenable number.

1564416409 is a deficient number, since it is larger than the sum of its proper divisors (15014831).

1564416409 is a wasteful number, since it uses less digits than its factorization.

1564416409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10379.

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 1564416409 is about 39552.7041932660. The cubic root of 1564416409 is about 1160.8714243199.

The spelling of 1564416409 in words is "one billion, five hundred sixty-four million, four hundred sixteen thousand, four hundred nine".