400100401 has 2 divisors, whose sum is σ = 400100402. Its totient is φ = 400100400.

The previous prime is 400100383. The next prime is 400100429. The reversal of 400100401 is 104001004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 359140401 + 40960000 = 18951^2 + 6400^2 .

It is a cyclic number.

It is not a de Polignac number, because 400100401 - 2¹⁷ = 399969329 is a prime.

It is not a weakly prime, because it can be changed into another prime (400107401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200050200 + 200050201.

It is an arithmetic number, because the mean of its divisors is an integer number (200050201).

Almost surely, 2^400100401 is an apocalyptic number.

It is an amenable number.

400100401 is a deficient number, since it is larger than the sum of its proper divisors (1).

400100401 is an equidigital number, since it uses as much as digits as its factorization.

400100401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 400100401 is about 20002.5098675141. The cubic root of 400100401 is about 736.8679413121.

Adding to 400100401 its reverse (104001004), we get a palindrome (504101405).

The spelling of 400100401 in words is "four hundred million, one hundred thousand, four hundred one".