413828345249 has 24 divisors (see below), whose sum is σ = 460147867200. Its totient is φ = 371854340000.

The previous prime is 413828345243. The next prime is 413828345251. The reversal of 413828345249 is 942543828314.

It is not a de Polignac number, because 413828345249 - 2²⁴ = 413811568033 is a prime.

It is a super-3 number, since 3×413828345249³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 413828345249.

It is not an unprimeable number, because it can be changed into a prime (413828345243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7292114 + ... + 7348644.

It is an arithmetic number, because the mean of its divisors is an integer number (19172827800).

Almost surely, 2^413828345249 is an apocalyptic number.

It is an amenable number.

413828345249 is a deficient number, since it is larger than the sum of its proper divisors (46319521951).

413828345249 is a wasteful number, since it uses less digits than its factorization.

413828345249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57253 (or 57242 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 53.

The spelling of 413828345249 in words is "four hundred thirteen billion, eight hundred twenty-eight million, three hundred forty-five thousand, two hundred forty-nine".