40466205 has 72 divisors (see below), whose sum is σ = 80676648. Its totient is φ = 18690048.

The previous prime is 40466183. The next prime is 40466207. The reversal of 40466205 is 50266404.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 30769209 + 9696996 = 5547^2 + 3114^2 .

It is not a de Polignac number, because 40466205 - 2⁷ = 40466077 is a prime.

It is a hoax number, since the sum of its digits (27) 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 (40466207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129129 + ... + 129441.

It is an arithmetic number, because the mean of its divisors is an integer number (1120509).

Almost surely, 2^40466205 is an apocalyptic number.

40466205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40466205 is a deficient number, since it is larger than the sum of its proper divisors (40210443).

40466205 is a wasteful number, since it uses less digits than its factorization.

40466205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40466205 is about 6361.3052905831. The cubic root of 40466205 is about 343.3187261409.

The spelling of 40466205 in words is "forty million, four hundred sixty-six thousand, two hundred five".