360432 has 30 divisors (see below), whose sum is σ = 1009112. Its totient is φ = 120096.

The previous prime is 360421. The next prime is 360439. The reversal of 360432 is 234063.

It is a super-2 number, since 2×360432² = 259822453248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360439) by changing a digit.

360432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1108 + ... + 1395.

2³⁶⁰⁴³² is an apocalyptic number.

It is an amenable number.

360432 is an abundant number, since it is smaller than the sum of its proper divisors (648680).

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

360432 is a wasteful number, since it uses less digits than its factorization.

360432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 360432 is about 600.3598920648. The cubic root of 360432 is about 71.1663098618.

Subtracting from 360432 its product of nonzero digits (432), we obtain a square (360000 = 600²).

Adding to 360432 its reverse (234063), we get a palindrome (594495).

The spelling of 360432 in words is "three hundred sixty thousand, four hundred thirty-two".