407473841 has 2 divisors, whose sum is σ = 407473842. Its totient is φ = 407473840.

The previous prime is 407473823. The next prime is 407473849. The reversal of 407473841 is 148374704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 396846241 + 10627600 = 19921^2 + 3260^2 .

It is a cyclic number.

It is not a de Polignac number, because 407473841 - 2¹⁸ = 407211697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 407473795 and 407473804.

It is not a weakly prime, because it can be changed into another prime (407473849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203736920 + 203736921.

It is an arithmetic number, because the mean of its divisors is an integer number (203736921).

Almost surely, 2^407473841 is an apocalyptic number.

It is an amenable number.

407473841 is a deficient number, since it is larger than the sum of its proper divisors (1).

407473841 is an equidigital number, since it uses as much as digits as its factorization.

407473841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 407473841 is about 20185.9812989114. The cubic root of 407473841 is about 741.3669892993.

The spelling of 407473841 in words is "four hundred seven million, four hundred seventy-three thousand, eight hundred forty-one".