516444409 has 16 divisors (see below), whose sum is σ = 578475520. Its totient is φ = 457928640.

The previous prime is 516444403. The next prime is 516444433. The reversal of 516444409 is 904444615.

It is not a de Polignac number, because 516444409 - 2²⁵ = 482889977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516444403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31204 + ... + 44794.

It is an arithmetic number, because the mean of its divisors is an integer number (36154720).

Almost surely, 2^516444409 is an apocalyptic number.

It is an amenable number.

516444409 is a deficient number, since it is larger than the sum of its proper divisors (62031111).

516444409 is a wasteful number, since it uses less digits than its factorization.

516444409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720.

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 516444409 is about 22725.4132855708. The cubic root of 516444409 is about 802.3081306161.

The spelling of 516444409 in words is "five hundred sixteen million, four hundred forty-four thousand, four hundred nine".