400457 has 2 divisors, whose sum is σ = 400458. Its totient is φ = 400456.

The previous prime is 400441. The next prime is 400471. The reversal of 400457 is 754004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259081 + 141376 = 509^2 + 376^2 .

It is a cyclic number.

It is not a de Polignac number, because 400457 - 2⁴ = 400441 is a prime.

It is not a weakly prime, because it can be changed into another prime (400417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200228 + 200229.

It is an arithmetic number, because the mean of its divisors is an integer number (200229).

2⁴⁰⁰⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

400457 is a deficient number, since it is larger than the sum of its proper divisors (1).

400457 is an equidigital number, since it uses as much as digits as its factorization.

400457 is an evil number, because the sum of its binary digits is even.

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

The square root of 400457 is about 632.8167191217. The cubic root of 400457 is about 73.7086793333.

The spelling of 400457 in words is "four hundred thousand, four hundred fifty-seven".