400023257 has 2 divisors, whose sum is σ = 400023258. Its totient is φ = 400023256.

The previous prime is 400023223. The next prime is 400023269. The reversal of 400023257 is 752320004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 280361536 + 119661721 = 16744^2 + 10939^2 .

It is a cyclic number.

It is not a de Polignac number, because 400023257 - 2¹⁶ = 399957721 is a prime.

It is a super-2 number, since 2×400023257² = 320037212281776098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (400023557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200011628 + 200011629.

It is an arithmetic number, because the mean of its divisors is an integer number (200011629).

Almost surely, 2^400023257 is an apocalyptic number.

It is an amenable number.

400023257 is a deficient number, since it is larger than the sum of its proper divisors (1).

400023257 is an equidigital number, since it uses as much as digits as its factorization.

400023257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 400023257 is about 20000.5814165489. The cubic root of 400023257 is about 736.8205793714.

The spelling of 400023257 in words is "four hundred million, twenty-three thousand, two hundred fifty-seven".