412337205 has 72 divisors (see below), whose sum is σ = 851871384. Its totient is φ = 183859200.

The previous prime is 412337201. The next prime is 412337207. The reversal of 412337205 is 502733214.

It can be written as a sum of positive squares in 4 ways, for example, as 815409 + 411521796 = 903^2 + 20286^2 .

It is not a de Polignac number, because 412337205 - 2² = 412337201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412337201) 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 71 ways as a sum of consecutive naturals, for example, 88125 + ... + 92685.

It is an arithmetic number, because the mean of its divisors is an integer number (11831547).

Almost surely, 2^412337205 is an apocalyptic number.

412337205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412337205 is an abundant number, since it is smaller than the sum of its proper divisors (439534179).

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

412337205 is a wasteful number, since it uses less digits than its factorization.

412337205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 412337205 is about 20306.0878802393. The cubic root of 412337205 is about 744.3048362785.

It can be divided in two parts, 4123 and 37205, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 412337205 in words is "four hundred twelve million, three hundred thirty-seven thousand, two hundred five".