407468141 has 2 divisors, whose sum is σ = 407468142. Its totient is φ = 407468140.

The previous prime is 407468093. The next prime is 407468147. The reversal of 407468141 is 141864704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 375545641 + 31922500 = 19379^2 + 5650^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-407468141 is a prime.

It is a super-3 number, since 3×407468141³ (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407468147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203734070 + 203734071.

It is an arithmetic number, because the mean of its divisors is an integer number (203734071).

Almost surely, 2^407468141 is an apocalyptic number.

It is an amenable number.

407468141 is a deficient number, since it is larger than the sum of its proper divisors (1).

407468141 is an equidigital number, since it uses as much as digits as its factorization.

407468141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 407468141 is about 20185.8401113256. The cubic root of 407468141 is about 741.3635323809.

The spelling of 407468141 in words is "four hundred seven million, four hundred sixty-eight thousand, one hundred forty-one".