413349561 has 27 divisors (see below), whose sum is σ = 622472773. Its totient is φ = 274468500.

The previous prime is 413349511. The next prime is 413349569. The reversal of 413349561 is 165943314.

The square root of 413349561 is 20331.

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

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 413349561 - 2⁹ = 413349049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413349569) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1646686 + ... + 1646936.

Almost surely, 2^413349561 is an apocalyptic number.

413349561 is the 20331-st square number.

413349561 is the 10166-th centered octagonal number.

It is an amenable number.

413349561 is a deficient number, since it is larger than the sum of its proper divisors (209123212).

413349561 is an frugal number, since it uses more digits than its factorization.

413349561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 254 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The cubic root of 413349561 is about 744.9134689223.

Multiplying 413349561 by its sum of digits (36), we get a square (14880584196 = 121986²).

The spelling of 413349561 in words is "four hundred thirteen million, three hundred forty-nine thousand, five hundred sixty-one".