400000457 has 2 divisors, whose sum is σ = 400000458. Its totient is φ = 400000456.

The previous prime is 400000411. The next prime is 400000477. The reversal of 400000457 is 754000004.

It is an a-pointer prime, because the next prime (400000477) can be obtained adding 400000457 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 338707216 + 61293241 = 18404^2 + 7829^2 .

It is a cyclic number.

It is not a de Polignac number, because 400000457 - 2¹⁰ = 399999433 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (400000477) 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, 200000228 + 200000229.

It is an arithmetic number, because the mean of its divisors is an integer number (200000229).

Almost surely, 2^400000457 is an apocalyptic number.

It is an amenable number.

400000457 is a deficient number, since it is larger than the sum of its proper divisors (1).

400000457 is an equidigital number, since it uses as much as digits as its factorization.

400000457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 400000457 is about 20000.0114249967. The cubic root of 400000457 is about 736.8065803284.

The spelling of 400000457 in words is "four hundred million, four hundred fifty-seven", and thus it is an aban number.