378400 has 72 divisors (see below), whose sum is σ = 1031184. Its totient is φ = 134400.

The previous prime is 378379. The next prime is 378401. The reversal of 378400 is 4873.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (378401) 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 11 ways as a sum of consecutive naturals, for example, 8779 + ... + 8821.

It is an arithmetic number, because the mean of its divisors is an integer number (14322).

378400 is a Friedman number, since it can be written as 47300*8, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 473 ⋅ 800 (with its own digits).

2³⁷⁸⁴⁰⁰ 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 378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592).

378400 is an abundant number, since it is smaller than the sum of its proper divisors (652784).

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

378400 is a wasteful number, since it uses less digits than its factorization.

378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 378400 is about 615.1422599692. The cubic root of 378400 is about 72.3297630853.

The spelling of 378400 in words is "three hundred seventy-eight thousand, four hundred".