378496 has 16 divisors (see below), whose sum is σ = 754290. Its totient is φ = 189184.

The previous prime is 378493. The next prime is 378503. The reversal of 378496 is 694873.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 18496 = 600^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (378493) 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 as a sum of consecutive naturals, namely, 1351 + ... + 1606.

2³⁷⁸⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

378496 is a deficient number, since it is larger than the sum of its proper divisors (375794).

378496 is an equidigital number, since it uses as much as digits as its factorization.

378496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2959 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 378496 is about 615.2202857514. The cubic root of 378496 is about 72.3358792500.

The spelling of 378496 in words is "three hundred seventy-eight thousand, four hundred ninety-six".