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408400381 is a prime number
BaseRepresentation
bin11000010101111…
…011000111111101
31001110110220000001
4120111323013331
51314022303011
6104305234301
713056226444
oct3025730775
91043426001
10408400381
1119a593284
12b4932991
13667c303c
143c34dd5b
1525cc27c1
hex1857b1fd

408400381 has 2 divisors, whose sum is σ = 408400382. Its totient is φ = 408400380.

The previous prime is 408400357. The next prime is 408400411. The reversal of 408400381 is 183004804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 267028281 + 141372100 = 16341^2 + 11890^2 .

It is a cyclic number.

It is not a de Polignac number, because 408400381 - 225 = 374845949 is a prime.

It is a super-2 number, since 2×4084003812 = 333581742401890322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (408400781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204200190 + 204200191.

It is an arithmetic number, because the mean of its divisors is an integer number (204200191).

Almost surely, 2408400381 is an apocalyptic number.

It is an amenable number.

408400381 is a deficient number, since it is larger than the sum of its proper divisors (1).

408400381 is an equidigital number, since it uses as much as digits as its factorization.

408400381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 408400381 is about 20208.9183530440. The cubic root of 408400381 is about 741.9284864346.

The spelling of 408400381 in words is "four hundred eight million, four hundred thousand, three hundred eighty-one".