378886225 has 27 divisors (see below), whose sum is σ = 501269907. Its totient is φ = 284033280.

The previous prime is 378886169. The next prime is 378886237. The reversal of 378886225 is 522688873.

It is a happy number.

The square root of 378886225 is 19465.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4695889 + 374190336 = 2167^2 + 19344^2 .

It is not a de Polignac number, because 378886225 - 2⁷ = 378886097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1654411 + ... + 1654639.

Almost surely, 2^378886225 is an apocalyptic number.

378886225 is the 19465-th square number.

378886225 is the 9733-rd centered octagonal number.

It is an amenable number.

378886225 is a deficient number, since it is larger than the sum of its proper divisors (122383682).

378886225 is an equidigital number, since it uses as much as digits as its factorization.

378886225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 49.

The cubic root of 378886225 is about 723.6072986344.

Multiplying 378886225 by its sum of digits (49), we get a square (18565425025 = 136255²).

The spelling of 378886225 in words is "three hundred seventy-eight million, eight hundred eighty-six thousand, two hundred twenty-five".