563472 has 120 divisors (see below), whose sum is σ = 1985984. Its totient is φ = 145152.

The previous prime is 563467. The next prime is 563489. The reversal of 563472 is 274365.

It is a happy number.

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

It is an unprimeable number.

563472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13083 + ... + 13125.

2⁵⁶³⁴⁷² is an apocalyptic number.

563472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992992).

563472 is an abundant number, since it is smaller than the sum of its proper divisors (1422512).

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

563472 is a wasteful number, since it uses less digits than its factorization.

563472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 68 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 563472 is about 750.6477203056. The cubic root of 563472 is about 82.5957016135.

It can be divided in two parts, 563 and 472, that added together give a triangular number (1035 = T₄₅).

The spelling of 563472 in words is "five hundred sixty-three thousand, four hundred seventy-two".