378406 has 16 divisors (see below), whose sum is σ = 656640. Its totient is φ = 160200.

The previous prime is 378401. The next prime is 378407. The reversal of 378406 is 604873.

It is a super-2 number, since 2×378406² = 286382201672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378401) by changing a digit.

378406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2025 + ... + 2203.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2³⁷⁸⁴⁰⁶ is an apocalyptic number.

378406 is a deficient number, since it is larger than the sum of its proper divisors (278234).

378406 is a wasteful number, since it uses less digits than its factorization.

378406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 378406 is about 615.1471368705. The cubic root of 378406 is about 72.3301453759.

It can be divided in two parts, 378 and 406, that added together give a square (784 = 28²).

The spelling of 378406 in words is "three hundred seventy-eight thousand, four hundred six".