385140625 has 21 divisors (see below), whose sum is σ = 484505517. Its totient is φ = 306150000.

The previous prime is 385140601. The next prime is 385140629. The reversal of 385140625 is 526041583.

The square root of 385140625 is 19625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 248157009 + 136983616 = 15753^2 + 11704^2 .

It is not a de Polignac number, because 385140625 - 2²³ = 376752017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385140629) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2453047 + ... + 2453203.

Almost surely, 2^385140625 is an apocalyptic number.

385140625 is the 19625-th square number.

385140625 is the 9813-rd centered octagonal number.

It is an amenable number.

385140625 is a deficient number, since it is larger than the sum of its proper divisors (99364892).

385140625 is an frugal number, since it uses more digits than its factorization.

385140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 162 counting only the distinct ones).

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

The cubic root of 385140625 is about 727.5671969830.

The spelling of 385140625 in words is "three hundred eighty-five million, one hundred forty thousand, six hundred twenty-five".