414053865 has 48 divisors (see below), whose sum is σ = 742482000. Its totient is φ = 213290496.

The previous prime is 414053813. The next prime is 414053891. The reversal of 414053865 is 568350414.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 826281 + 413227584 = 909^2 + 20328^2 .

It is not a de Polignac number, because 414053865 - 2¹⁰ = 414052841 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247251 + ... + 248919.

It is an arithmetic number, because the mean of its divisors is an integer number (15468375).

Almost surely, 2^414053865 is an apocalyptic number.

414053865 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414053865 is a deficient number, since it is larger than the sum of its proper divisors (328428135).

414053865 is a wasteful number, since it uses less digits than its factorization.

414053865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 414053865 is about 20348.3135664851. The cubic root of 414053865 is about 745.3363134804.

The spelling of 414053865 in words is "four hundred fourteen million, fifty-three thousand, eight hundred sixty-five".