385210146409 has 27 divisors (see below), whose sum is σ = 449920096311. Its totient is φ = 329492264640.

The previous prime is 385210146407. The next prime is 385210146473. The reversal of 385210146409 is 904641012583.

The square root of 385210146409 is 620653.

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

It can be written as a sum of positive squares in only one way, i.e., 299904093225 + 85306053184 = 547635^2 + 292072^2 .

It is not a de Polignac number, because 385210146409 - 2¹ = 385210146407 is a prime.

It is a super-5 number, since 5×385210146409⁵ (a number of 59 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385210146407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 116060452 + ... + 116063770.

Almost surely, 2^385210146409 is an apocalyptic number.

385210146409 is the 620653-rd square number.

385210146409 is the 310327-th centered octagonal number.

It is an amenable number.

385210146409 is a deficient number, since it is larger than the sum of its proper divisors (64709949902).

385210146409 is an frugal number, since it uses more digits than its factorization.

385210146409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6694 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 385210146409 in words is "three hundred eighty-five billion, two hundred ten million, one hundred forty-six thousand, four hundred nine".