385533225 has 243 divisors, whose sum is σ = 937928901. Its totient is φ = 150796800.

The previous prime is 385533139. The next prime is 385533263. The reversal of 385533225 is 522335583.

The square root of 385533225 is 19635.

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

385533225 is a `hidden beast` number, since 385 + 53 + 3 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9018009 + 376515216 = 3003^2 + 19404^2 .

It is not a de Polignac number, because 385533225 - 2¹³ = 385525033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 385533225.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 22678417 + ... + 22678433.

Almost surely, 2^385533225 is an apocalyptic number.

385533225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

385533225 is the 19635-th square number.

385533225 is the 9818-th centered octagonal number.

It is an amenable number.

385533225 is an abundant number, since it is smaller than the sum of its proper divisors (552395676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

385533225 is a wasteful number, since it uses less digits than its factorization.

385533225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 43 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The cubic root of 385533225 is about 727.8143325828.

Multiplying 385533225 by its sum of digits (36), we get a square (13879196100 = 117810²).

The spelling of 385533225 in words is "three hundred eighty-five million, five hundred thirty-three thousand, two hundred twenty-five".