385926025 has 9 divisors (see below), whose sum is σ = 478670101. Its totient is φ = 308662240.

The previous prime is 385926017. The next prime is 385926049. The reversal of 385926025 is 520629583.

The square root of 385926025 is 19645.

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 102475129 + 283450896 = 10123^2 + 16836^2 .

It is not a de Polignac number, because 385926025 - 2³ = 385926017 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 (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96261 + ... + 100189.

Almost surely, 2^385926025 is an apocalyptic number.

385926025 is the 19645-th square number.

385926025 is the 9823-rd centered octagonal number.

It is an amenable number.

385926025 is a deficient number, since it is larger than the sum of its proper divisors (92744076).

385926025 is an frugal number, since it uses more digits than its factorization.

385926025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The cubic root of 385926025 is about 728.0614262312.

Multiplying 385926025 by its product of nonzero digits (129600), we get a square (50016012840000 = 7072200²).

The spelling of 385926025 in words is "three hundred eighty-five million, nine hundred twenty-six thousand, twenty-five".