407401 has 2 divisors, whose sum is σ = 407402. Its totient is φ = 407400.

The previous prime is 407383. The next prime is 407437. The reversal of 407401 is 104704.

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., 331776 + 75625 = 576^2 + 275^2 .

It is a cyclic number.

It is not a de Polignac number, because 407401 - 2⁵ = 407369 is a prime.

It is equal to p₃₄₄₀₅ and since 407401 and 34405 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (407471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203700 + 203701.

It is an arithmetic number, because the mean of its divisors is an integer number (203701).

2⁴⁰⁷⁴⁰¹ is an apocalyptic number.

It is an amenable number.

407401 is a deficient number, since it is larger than the sum of its proper divisors (1).

407401 is an equidigital number, since it uses as much as digits as its factorization.

407401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 407401 is about 638.2797192454. The cubic root of 407401 is about 74.1322810487.

It can be divided in two parts, 407 and 401, that added together give a palindrome (808).

The spelling of 407401 in words is "four hundred seven thousand, four hundred one", and thus it is an iban number.