400109629 has 2 divisors, whose sum is σ = 400109630. Its totient is φ = 400109628.

The previous prime is 400109627. The next prime is 400109669. The reversal of 400109629 is 926901004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 396089604 + 4020025 = 19902^2 + 2005^2 .

It is a cyclic number.

It is not a de Polignac number, because 400109629 - 2¹ = 400109627 is a prime.

Together with 400109627, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 400109629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400109623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200054814 + 200054815.

It is an arithmetic number, because the mean of its divisors is an integer number (200054815).

Almost surely, 2^400109629 is an apocalyptic number.

It is an amenable number.

400109629 is a deficient number, since it is larger than the sum of its proper divisors (1).

400109629 is an equidigital number, since it uses as much as digits as its factorization.

400109629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 400109629 is about 20002.7405372364. The cubic root of 400109629 is about 736.8736063610.

The spelling of 400109629 in words is "four hundred million, one hundred nine thousand, six hundred twenty-nine".