414823361 has 6 divisors (see below), whose sum is σ = 416126790. Its totient is φ = 413523968.

The previous prime is 414823349. The next prime is 414823373. The reversal of 414823361 is 163328414.

It is an interprime number because it is at equal distance from previous prime (414823349) and next prime (414823373).

It can be written as a sum of positive squares in 3 ways, for example, as 24010000 + 390813361 = 4900^2 + 19769^2 .

It is not a de Polignac number, because 414823361 - 2¹⁰ = 414822337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414823061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122945 + ... + 126273.

It is an arithmetic number, because the mean of its divisors is an integer number (69354465).

Almost surely, 2^414823361 is an apocalyptic number.

It is an amenable number.

414823361 is a deficient number, since it is larger than the sum of its proper divisors (1303429).

414823361 is an frugal number, since it uses more digits than its factorization.

414823361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 3682 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 414823361 is about 20367.2128922933. The cubic root of 414823361 is about 745.7977497278.

The spelling of 414823361 in words is "four hundred fourteen million, eight hundred twenty-three thousand, three hundred sixty-one".