400416493 has 2 divisors, whose sum is σ = 400416494. Its totient is φ = 400416492.

The previous prime is 400416449. The next prime is 400416563. The reversal of 400416493 is 394614004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 349764804 + 50651689 = 18702^2 + 7117^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-400416493 is a prime.

It is equal to p_21357373 and since 400416493 and 21357373 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400416403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200208246 + 200208247.

It is an arithmetic number, because the mean of its divisors is an integer number (200208247).

Almost surely, 2^400416493 is an apocalyptic number.

It is an amenable number.

400416493 is a deficient number, since it is larger than the sum of its proper divisors (1).

400416493 is an equidigital number, since it uses as much as digits as its factorization.

400416493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 400416493 is about 20010.4096159974. The cubic root of 400416493 is about 737.0619399101.

The spelling of 400416493 in words is "four hundred million, four hundred sixteen thousand, four hundred ninety-three".