414120313 has 16 divisors (see below), whose sum is σ = 441115776. Its totient is φ = 387953280.

The previous prime is 414120299. The next prime is 414120341. The reversal of 414120313 is 313021414.

It is not a de Polignac number, because 414120313 - 2¹³ = 414112121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414120373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262818 + ... + 264388.

It is an arithmetic number, because the mean of its divisors is an integer number (27569736).

Almost surely, 2^414120313 is an apocalyptic number.

It is an amenable number.

414120313 is a deficient number, since it is larger than the sum of its proper divisors (26995463).

414120313 is a wasteful number, since it uses less digits than its factorization.

414120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 414120313 is about 20349.9462652853. The cubic root of 414120313 is about 745.3761822531.

Adding to 414120313 its reverse (313021414), we get a palindrome (727141727).

The spelling of 414120313 in words is "four hundred fourteen million, one hundred twenty thousand, three hundred thirteen".