400824493 has 2 divisors, whose sum is σ = 400824494. Its totient is φ = 400824492.

The previous prime is 400824469. The next prime is 400824509. The reversal of 400824493 is 394428004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238949764 + 161874729 = 15458^2 + 12723^2 .

It is a cyclic number.

It is not a de Polignac number, because 400824493 - 2¹⁷ = 400693421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400824443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200412246 + 200412247.

It is an arithmetic number, because the mean of its divisors is an integer number (200412247).

Almost surely, 2^400824493 is an apocalyptic number.

It is an amenable number.

400824493 is a deficient number, since it is larger than the sum of its proper divisors (1).

400824493 is an equidigital number, since it uses as much as digits as its factorization.

400824493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 400824493 is about 20020.6017142343. The cubic root of 400824493 is about 737.3121953280.

The spelling of 400824493 in words is "four hundred million, eight hundred twenty-four thousand, four hundred ninety-three".