366432 has 48 divisors (see below), whose sum is σ = 1052352. Its totient is φ = 110720.

The previous prime is 366419. The next prime is 366433. The reversal of 366432 is 234663.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁶ + 6² + 4⁸ + 6⁷ + 3⁹ + 2⁹ .

It is a nialpdrome in base 13.

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 366432.

It is not an unprimeable number, because it can be changed into a prime (366433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (21924).

2³⁶⁶⁴³² is an apocalyptic number.

366432 is a gapful number since it is divisible by the number (32) 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 366432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526176).

366432 is an abundant number, since it is smaller than the sum of its proper divisors (685920).

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

366432 is a wasteful number, since it uses less digits than its factorization.

366432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 366432 is about 605.3362701838. The cubic root of 366432 is about 71.5590331902.

Subtracting from 366432 its reverse (234663), we obtain a square (131769 = 363²).

The spelling of 366432 in words is "three hundred sixty-six thousand, four hundred thirty-two".