563416 has 16 divisors (see below), whose sum is σ = 1207440. Its totient is φ = 241440.

The previous prime is 563413. The next prime is 563417. The reversal of 563416 is 614365.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4975 + ... + 5086.

It is an arithmetic number, because the mean of its divisors is an integer number (75465).

2⁵⁶³⁴¹⁶ is an apocalyptic number.

563416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

563416 is an abundant number, since it is smaller than the sum of its proper divisors (644024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

563416 is a wasteful number, since it uses less digits than its factorization.

563416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10074 (or 10070 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 563416 is about 750.6104182597. The cubic root of 563416 is about 82.5929652974.

Subtracting from 563416 its sum of digits (25), we obtain a triangular number (563391 = T₁₀₆₁).

It can be divided in two parts, 563 and 416, that added together give a palindrome (979).

The spelling of 563416 in words is "five hundred sixty-three thousand, four hundred sixteen".