400078753 has 2 divisors, whose sum is σ = 400078754. Its totient is φ = 400078752.

The previous prime is 400078709. The next prime is 400078769. The reversal of 400078753 is 357870004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204861969 + 195216784 = 14313^2 + 13972^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-400078753 is a prime.

It is not a weakly prime, because it can be changed into another prime (400078793) 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, 200039376 + 200039377.

It is an arithmetic number, because the mean of its divisors is an integer number (200039377).

Almost surely, 2^400078753 is an apocalyptic number.

It is an amenable number.

400078753 is a deficient number, since it is larger than the sum of its proper divisors (1).

400078753 is an equidigital number, since it uses as much as digits as its factorization.

400078753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 400078753 is about 20001.9687281027. The cubic root of 400078753 is about 736.8546513105.

The spelling of 400078753 in words is "four hundred million, seventy-eight thousand, seven hundred fifty-three".