378200225 has 48 divisors (see below), whose sum is σ = 539548800. Its totient is φ = 260651520.

The previous prime is 378200203. The next prime is 378200227. The reversal of 378200225 is 522002873.

It is not a de Polignac number, because 378200225 - 2¹⁰ = 378199201 is a prime.

It is a super-3 number, since 3×378200225³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (378200227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450356 + ... + 451194.

It is an arithmetic number, because the mean of its divisors is an integer number (11240600).

Almost surely, 2^378200225 is an apocalyptic number.

It is an amenable number.

378200225 is a deficient number, since it is larger than the sum of its proper divisors (161348575).

378200225 is a wasteful number, since it uses less digits than its factorization.

378200225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 378200225 is about 19447.3706448970. The cubic root of 378200225 is about 723.1703209337.

The spelling of 378200225 in words is "three hundred seventy-eight million, two hundred thousand, two hundred twenty-five".