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406688801 is a prime number
BaseRepresentation
bin11000001111011…
…001010000100001
31001100020221011012
4120033121100201
51313103020201
6104204430305
713035540431
oct3017312041
91040227135
10406688801
11199624352
12b4248395
1366343c7c
143c0262c1
1525a855bb
hex183d9421

406688801 has 2 divisors, whose sum is σ = 406688802. Its totient is φ = 406688800.

The previous prime is 406688743. The next prime is 406688809. The reversal of 406688801 is 108886604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 362864401 + 43824400 = 19049^2 + 6620^2 .

It is a cyclic number.

It is not a de Polignac number, because 406688801 - 210 = 406687777 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (406688809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203344400 + 203344401.

It is an arithmetic number, because the mean of its divisors is an integer number (203344401).

Almost surely, 2406688801 is an apocalyptic number.

It is an amenable number.

406688801 is a deficient number, since it is larger than the sum of its proper divisors (1).

406688801 is an equidigital number, since it uses as much as digits as its factorization.

406688801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 406688801 is about 20166.5267460711. The cubic root of 406688801 is about 740.8905767906.

The spelling of 406688801 in words is "four hundred six million, six hundred eighty-eight thousand, eight hundred one".