400120933 has 2 divisors, whose sum is σ = 400120934. Its totient is φ = 400120932.

The previous prime is 400120901. The next prime is 400120939. The reversal of 400120933 is 339021004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274299844 + 125821089 = 16562^2 + 11217^2 .

It is a cyclic number.

It is not a de Polignac number, because 400120933 - 2⁵ = 400120901 is a prime.

It is a super-2 number, since 2×400120933² = 320193522049580978, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400120939) 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, 200060466 + 200060467.

It is an arithmetic number, because the mean of its divisors is an integer number (200060467).

Almost surely, 2^400120933 is an apocalyptic number.

It is an amenable number.

400120933 is a deficient number, since it is larger than the sum of its proper divisors (1).

400120933 is an equidigital number, since it uses as much as digits as its factorization.

400120933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 400120933 is about 20003.0230965222. The cubic root of 400120933 is about 736.8805457431.

Adding to 400120933 its reverse (339021004), we get a palindrome (739141937).

The spelling of 400120933 in words is "four hundred million, one hundred twenty thousand, nine hundred thirty-three".