335405385 has 48 divisors (see below), whose sum is σ = 699404160. Its totient is φ = 145255680.

The previous prime is 335405377. The next prime is 335405419. The reversal of 335405385 is 583504533.

335405385 is a `hidden beast` number, since 33 + 540 + 5 + 3 + 85 = 666.

It is not a de Polignac number, because 335405385 - 2³ = 335405377 is a prime.

It is a super-2 number, since 2×335405385² = 224993544573996450, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 22036 + ... + 34005.

It is an arithmetic number, because the mean of its divisors is an integer number (14570920).

Almost surely, 2^335405385 is an apocalyptic number.

335405385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

335405385 is an abundant number, since it is smaller than the sum of its proper divisors (363998775).

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

335405385 is a wasteful number, since it uses less digits than its factorization.

335405385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56078 (or 56075 counting only the distinct ones).

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

The square root of 335405385 is about 18314.0761437753. The cubic root of 335405385 is about 694.7949880968.

It can be divided in two parts, 335405 and 385, that added together give a triangular number (335790 = T₈₁₉).

The spelling of 335405385 in words is "three hundred thirty-five million, four hundred five thousand, three hundred eighty-five".