414945 has 12 divisors (see below), whose sum is σ = 719316. Its totient is φ = 221280.

The previous prime is 414929. The next prime is 414949. The reversal of 414945 is 549414.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 136161 = 528^2 + 369^2 .

It is not a de Polignac number, because 414945 - 2⁴ = 414929 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414945.

It is not an unprimeable number, because it can be changed into a prime (414949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4566 + ... + 4655.

It is an arithmetic number, because the mean of its divisors is an integer number (59943).

2⁴¹⁴⁹⁴⁵ is an apocalyptic number.

414945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414945 is a deficient number, since it is larger than the sum of its proper divisors (304371).

414945 is a wasteful number, since it uses less digits than its factorization.

414945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232 (or 9229 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 414945 is about 644.1622466429. The cubic root of 414945 is about 74.5870639569.

The spelling of 414945 in words is "four hundred fourteen thousand, nine hundred forty-five".