Search a number
-
+
400251461 is a prime number
BaseRepresentation
bin10111110110110…
…101101001000101
31000220010212210012
4113312311221011
51304431021321
6103414440005
712630036611
oct2766655105
91026125705
10400251461
11195a27935
12b2063005
1364bcbbac
143b22c341
152521305b
hex17db5a45

400251461 has 2 divisors, whose sum is σ = 400251462. Its totient is φ = 400251460.

The previous prime is 400251443. The next prime is 400251487. The reversal of 400251461 is 164152004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216648961 + 183602500 = 14719^2 + 13550^2 .

It is a cyclic number.

It is not a de Polignac number, because 400251461 - 210 = 400250437 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400251421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200125730 + 200125731.

It is an arithmetic number, because the mean of its divisors is an integer number (200125731).

Almost surely, 2400251461 is an apocalyptic number.

It is an amenable number.

400251461 is a deficient number, since it is larger than the sum of its proper divisors (1).

400251461 is an equidigital number, since it uses as much as digits as its factorization.

400251461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 400251461 is about 20006.2855373005. The cubic root of 400251461 is about 736.9606657592.

The spelling of 400251461 in words is "four hundred million, two hundred fifty-one thousand, four hundred sixty-one".