378432 has 70 divisors (see below), whose sum is σ = 1137158. Its totient is φ = 124416.

The previous prime is 378407. The next prime is 378439. The reversal of 378432 is 234873.

It can be written as a sum of positive squares in only one way, i.e., 331776 + 46656 = 576^2 + 216^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 378396 and 378405.

It is not an unprimeable number, because it can be changed into a prime (378439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5148 + ... + 5220.

378432 is a Friedman number, since it can be written as 73*8^2*3^4, using all its digits and the basic arithmetic operations.

2³⁷⁸⁴³² is an apocalyptic number.

378432 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 378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568579).

378432 is an abundant number, since it is smaller than the sum of its proper divisors (758726).

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

378432 is an equidigital number, since it uses as much as digits as its factorization.

378432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 378432 is about 615.1682696629. The cubic root of 378432 is about 72.3318019218.

The spelling of 378432 in words is "three hundred seventy-eight thousand, four hundred thirty-two".