414305948397 has 16 divisors (see below), whose sum is σ = 638075472192. Its totient is φ = 236324248320.

The previous prime is 414305948333. The next prime is 414305948429. The reversal of 414305948397 is 793849503414.

It is a happy number.

414305948397 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 414305948397 - 2⁶ = 414305948333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414305948597) 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, 369256078 + ... + 369257199.

It is an arithmetic number, because the mean of its divisors is an integer number (39879717012).

Almost surely, 2^414305948397 is an apocalyptic number.

It is an amenable number.

414305948397 is a deficient number, since it is larger than the sum of its proper divisors (223769523795).

414305948397 is a wasteful number, since it uses less digits than its factorization.

414305948397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738513308.

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 414305948397 in words is "four hundred fourteen billion, three hundred five million, nine hundred forty-eight thousand, three hundred ninety-seven".