384429827409 has 48 divisors (see below), whose sum is σ = 547151649408. Its totient is φ = 240029236224.

The previous prime is 384429827401. The next prime is 384429827417. The reversal of 384429827409 is 904728924483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (384429827401) and next prime (384429827417).

It is not a de Polignac number, because 384429827409 - 2³ = 384429827401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (384429827401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143603379 + ... + 143606055.

It is an arithmetic number, because the mean of its divisors is an integer number (11398992696).

Almost surely, 2^384429827409 is an apocalyptic number.

It is an amenable number.

384429827409 is a deficient number, since it is larger than the sum of its proper divisors (162721821999).

384429827409 is a wasteful number, since it uses less digits than its factorization.

384429827409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 384429827409 in words is "three hundred eighty-four billion, four hundred twenty-nine million, eight hundred twenty-seven thousand, four hundred nine".