378401 has 2 divisors, whose sum is σ = 378402. Its totient is φ = 378400.

The previous prime is 378379. The next prime is 378407. The reversal of 378401 is 104873.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 358801 + 19600 = 599^2 + 140^2 .

It is a cyclic number.

It is not a de Polignac number, because 378401 - 2¹⁸ = 116257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (378407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 189200 + 189201.

It is an arithmetic number, because the mean of its divisors is an integer number (189201).

2³⁷⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

378401 is a deficient number, since it is larger than the sum of its proper divisors (1).

378401 is an equidigital number, since it uses as much as digits as its factorization.

378401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 378401 is about 615.1430727888. The cubic root of 378401 is about 72.3298268007.

The spelling of 378401 in words is "three hundred seventy-eight thousand, four hundred one".