408242853 has 12 divisors (see below), whose sum is σ = 590162508. Its totient is φ = 271941120.

The previous prime is 408242851. The next prime is 408242881. The reversal of 408242853 is 358242804.

408242853 is a `hidden beast` number, since 408 + 242 + 8 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 312653124 + 95589729 = 17682^2 + 9777^2 .

It is not a de Polignac number, because 408242853 - 2¹ = 408242851 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408242851) 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 11 ways as a sum of consecutive naturals, for example, 6268 + ... + 29253.

It is an arithmetic number, because the mean of its divisors is an integer number (49180209).

Almost surely, 2^408242853 is an apocalyptic number.

It is an amenable number.

408242853 is a deficient number, since it is larger than the sum of its proper divisors (181919655).

408242853 is a wasteful number, since it uses less digits than its factorization.

408242853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36804 (or 36801 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 408242853 is about 20205.0204899673. The cubic root of 408242853 is about 741.8330820666.

The spelling of 408242853 in words is "four hundred eight million, two hundred forty-two thousand, eight hundred fifty-three".