413385273 has 24 divisors (see below), whose sum is σ = 698288448. Its totient is φ = 230725152.

The previous prime is 413385263. The next prime is 413385281. The reversal of 413385273 is 372583314.

413385273 is a `hidden beast` number, since 4 + 1 + 3 + 385 + 273 = 666.

It is not a de Polignac number, because 413385273 - 2¹⁶ = 413319737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413385263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73590 + ... + 79007.

It is an arithmetic number, because the mean of its divisors is an integer number (29095352).

Almost surely, 2^413385273 is an apocalyptic number.

413385273 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

413385273 is a deficient number, since it is larger than the sum of its proper divisors (284903175).

413385273 is a wasteful number, since it uses less digits than its factorization.

413385273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152653 (or 152650 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 413385273 is about 20331.8782457499. The cubic root of 413385273 is about 744.9349209702.

The spelling of 413385273 in words is "four hundred thirteen million, three hundred eighty-five thousand, two hundred seventy-three".