575424 has 84 divisors (see below), whose sum is σ = 1756664. Its totient is φ = 186624.

The previous prime is 575417. The next prime is 575429. The reversal of 575424 is 424575.

575424 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×575424² = 662225559552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 575424.

It is not an unprimeable number, because it can be changed into a prime (575429) 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, 15534 + ... + 15570.

575424 is a Friedman number, since it can be written as 74*(5*2-4)^5, using all its digits and the basic arithmetic operations.

2⁵⁷⁵⁴²⁴ is an apocalyptic number.

575424 is a gapful number since it is divisible by the number (54) 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 575424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878332).

575424 is an abundant number, since it is smaller than the sum of its proper divisors (1181240).

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

575424 is an equidigital number, since it uses as much as digits as its factorization.

575424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 575424 is about 758.5670702054. The cubic root of 575424 is about 83.1756092211.

575424 divided by its sum of digits (27) gives a palindrome (21312).

Adding to 575424 its reverse (424575), we get a palindrome (999999).

It can be divided in two parts, 5754 and 24, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 575424 in words is "five hundred seventy-five thousand, four hundred twenty-four".