360416520409 has 9 divisors (see below), whose sum is σ = 396167566431. Its totient is φ = 327645378720.

The previous prime is 360416520391. The next prime is 360416520449. The reversal of 360416520409 is 904025614063.

The square root of 360416520409 is 600347.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 181548427225 + 178868093184 = 426085^2 + 422928^2 .

It is a de Polignac number, because none of the positive numbers 2^k-360416520409 is a prime.

It is a super-3 number, since 3×360416520409³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (360416520449) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6576529 + ... + 6631105.

Almost surely, 2^360416520409 is an apocalyptic number.

360416520409 is the 600347-th square number.

360416520409 is the 300174-th centered octagonal number.

It is an amenable number.

360416520409 is a deficient number, since it is larger than the sum of its proper divisors (35751046022).

360416520409 is an frugal number, since it uses more digits than its factorization.

360416520409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109176 (or 54588 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 360416520409 in words is "three hundred sixty billion, four hundred sixteen million, five hundred twenty thousand, four hundred nine".