409198401 has 6 divisors (see below), whose sum is σ = 591064370. Its totient is φ = 272798928.

The previous prime is 409198399. The next prime is 409198411. The reversal of 409198401 is 104891904.

It can be written as a sum of positive squares in only one way, i.e., 404975376 + 4223025 = 20124^2 + 2055^2 .

It is not a de Polignac number, because 409198401 - 2¹ = 409198399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409198411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22733236 + ... + 22733253.

Almost surely, 2^409198401 is an apocalyptic number.

It is an amenable number.

409198401 is a deficient number, since it is larger than the sum of its proper divisors (181865969).

409198401 is a wasteful number, since it uses less digits than its factorization.

409198401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45466495 (or 45466492 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 409198401 is about 20228.6529704773. The cubic root of 409198401 is about 742.4114181982.

The spelling of 409198401 in words is "four hundred nine million, one hundred ninety-eight thousand, four hundred one".