363424 has 24 divisors (see below), whose sum is σ = 735588. Its totient is φ = 176640.

The previous prime is 363403. The next prime is 363431. The reversal of 363424 is 424363.

It can be written as a sum of positive squares in 2 ways, for example, as 291600 + 71824 = 540^2 + 268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 363395 and 363404.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363424.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1174 + ... + 1450.

2³⁶³⁴²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367794).

363424 is an abundant number, since it is smaller than the sum of its proper divisors (372164).

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

363424 is a wasteful number, since it uses less digits than its factorization.

363424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its digits is 1728, while the sum is 22.

The square root of 363424 is about 602.8465808147. The cubic root of 363424 is about 71.3626882027.

Adding to 363424 its reverse (424363), we get a palindrome (787787).

It can be divided in two parts, 363 and 424, that added together give a palindrome (787).

The spelling of 363424 in words is "three hundred sixty-three thousand, four hundred twenty-four".