403166241 has 45 divisors (see below), whose sum is σ = 636141891. Its totient is φ = 254441088.

The previous prime is 403166227. The next prime is 403166261. The reversal of 403166241 is 142661304.

The square root of 403166241 is 20079.

It is a perfect power (a square), and thus also a powerful number.

403166241 is a `hidden beast` number, since 4 + 0 + 31 + 6 + 624 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 181037025 + 222129216 = 13455^2 + 14904^2 .

It is not a de Polignac number, because 403166241 - 2⁵ = 403166209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (403166201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4156305 + ... + 4156401.

Almost surely, 2^403166241 is an apocalyptic number.

403166241 is the 20079-th square number.

403166241 is the 10040-th centered octagonal number.

It is an amenable number.

403166241 is a deficient number, since it is larger than the sum of its proper divisors (232975650).

403166241 is an frugal number, since it uses more digits than its factorization.

403166241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 403166241 is about 738.7452812191.

The spelling of 403166241 in words is "four hundred three million, one hundred sixty-six thousand, two hundred forty-one".