361424 has 30 divisors (see below), whose sum is σ = 816354. Its totient is φ = 154560.

The previous prime is 361421. The next prime is 361433. The reversal of 361424 is 424163.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 283024 + 78400 = 532^2 + 280^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 361396 and 361405.

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 361424.

It is not an unprimeable number, because it can be changed into a prime (361421) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 554 + ... + 1014.

2³⁶¹⁴²⁴ 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 361424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408177).

361424 is an abundant number, since it is smaller than the sum of its proper divisors (454930).

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

361424 is a wasteful number, since it uses less digits than its factorization.

361424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 361424 is about 601.1854955003. The cubic root of 361424 is about 71.2315392821.

Adding to 361424 its reverse (424163), we get a palindrome (785587).

It can be divided in two parts, 3614 and 24, that multiplied together give a triangular number (86736 = T₄₁₆).

The spelling of 361424 in words is "three hundred sixty-one thousand, four hundred twenty-four".