418243401 has 27 divisors (see below), whose sum is σ = 643361173. Its totient is φ = 261772800.

The previous prime is 418243379. The next prime is 418243417. The reversal of 418243401 is 104342814.

The square root of 418243401 is 20451.

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

418243401 is a `hidden beast` number, since 4 + 18 + 243 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 288830025 + 129413376 = 16995^2 + 11376^2 .

It is not a de Polignac number, because 418243401 - 2⁵ = 418243369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (418243421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1042801 + ... + 1043201.

Almost surely, 2^418243401 is an apocalyptic number.

418243401 is the 20451-st square number.

418243401 is the 10226-th centered octagonal number.

It is an amenable number.

418243401 is a deficient number, since it is larger than the sum of its proper divisors (225117772).

418243401 is an equidigital number, since it uses as much as digits as its factorization.

418243401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 418243401 is about 747.8417364891.

The spelling of 418243401 in words is "four hundred eighteen million, two hundred forty-three thousand, four hundred one".