380541625 has 32 divisors (see below), whose sum is σ = 496173600. Its totient is φ = 291020800.

The previous prime is 380541619. The next prime is 380541631. The reversal of 380541625 is 526145083.

It is an interprime number because it is at equal distance from previous prime (380541619) and next prime (380541631).

It can be written as a sum of positive squares in 16 ways, for example, as 378964089 + 1577536 = 19467^2 + 1256^2 .

It is not a de Polignac number, because 380541625 - 2¹⁷ = 380410553 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409161 + ... + 410089.

It is an arithmetic number, because the mean of its divisors is an integer number (15505425).

Almost surely, 2^380541625 is an apocalyptic number.

It is an amenable number.

380541625 is a deficient number, since it is larger than the sum of its proper divisors (115631975).

380541625 is a wasteful number, since it uses less digits than its factorization.

380541625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 380541625 is about 19507.4761309607. The cubic root of 380541625 is about 724.6596103260.

The spelling of 380541625 in words is "three hundred eighty million, five hundred forty-one thousand, six hundred twenty-five".