414563 has 8 divisors (see below), whose sum is σ = 439296. Its totient is φ = 390600.

The previous prime is 414559. The next prime is 414571. The reversal of 414563 is 365414.

414563 = T₅₂ + T₅₃ + ... + T₁₃₇.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414563 - 2² = 414559 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1178 + ... + 1488.

It is an arithmetic number, because the mean of its divisors is an integer number (54912).

2⁴¹⁴⁵⁶³ is an apocalyptic number.

414563 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

414563 is a deficient number, since it is larger than the sum of its proper divisors (24733).

414563 is a wasteful number, since it uses less digits than its factorization.

414563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385.

The product of its digits is 1440, while the sum is 23.

The square root of 414563 is about 643.8656692199. The cubic root of 414563 is about 74.5641685481.

Adding to 414563 its reverse (365414), we get a palindrome (779977).

The spelling of 414563 in words is "four hundred fourteen thousand, five hundred sixty-three".