380835225 has 27 divisors (see below), whose sum is σ = 682642909. Its totient is φ = 202956000.

The previous prime is 380835211. The next prime is 380835253. The reversal of 380835225 is 522538083.

The square root of 380835225 is 19515.

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

It can be written as a sum of positive squares in 4 ways, for example, as 229249881 + 151585344 = 15141^2 + 12312^2 .

It is not a de Polignac number, because 380835225 - 2⁷ = 380835097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 380835225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 292075 + ... + 293375.

Almost surely, 2^380835225 is an apocalyptic number.

380835225 is the 19515-th square number.

380835225 is the 9758-th centered octagonal number.

It is an amenable number.

380835225 is a deficient number, since it is larger than the sum of its proper divisors (301807684).

380835225 is an equidigital number, since it uses as much as digits as its factorization.

380835225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The cubic root of 380835225 is about 724.8459284175.

Multiplying 380835225 by its sum of digits (36), we get a square (13710068100 = 117090²).

Multiplying 380835225 by its product of nonzero digits (57600), we get a square (21936108960000 = 4683600²).

The spelling of 380835225 in words is "three hundred eighty million, eight hundred thirty-five thousand, two hundred twenty-five".