407481413 has 2 divisors, whose sum is σ = 407481414. Its totient is φ = 407481412.

The previous prime is 407481397. The next prime is 407481421. The reversal of 407481413 is 314184704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 401321089 + 6160324 = 20033^2 + 2482^2 .

It is a cyclic number.

It is not a de Polignac number, because 407481413 - 2⁴ = 407481397 is a prime.

It is a super-2 number, since 2×407481413² = 332082203880953138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 407481413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407441413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203740706 + 203740707.

It is an arithmetic number, because the mean of its divisors is an integer number (203740707).

Almost surely, 2^407481413 is an apocalyptic number.

It is an amenable number.

407481413 is a deficient number, since it is larger than the sum of its proper divisors (1).

407481413 is an equidigital number, since it uses as much as digits as its factorization.

407481413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 407481413 is about 20186.1688539455. The cubic root of 407481413 is about 741.3715814927.

The spelling of 407481413 in words is "four hundred seven million, four hundred eighty-one thousand, four hundred thirteen".