407248785117 has 24 divisors (see below), whose sum is σ = 589285178040. Its totient is φ = 271021040640.

The previous prime is 407248785107. The next prime is 407248785161. The reversal of 407248785117 is 711587842704.

It is a happy number.

407248785117 is a `hidden beast` number, since 4 + 0 + 72 + 487 + 85 + 1 + 17 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 184496879961 + 222751905156 = 429531^2 + 471966^2 .

It is not a de Polignac number, because 407248785117 - 2²⁷ = 407114567389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407248785107) 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, 11983173 + ... + 12017109.

It is an arithmetic number, because the mean of its divisors is an integer number (24553549085).

Almost surely, 2^407248785117 is an apocalyptic number.

It is an amenable number.

407248785117 is a deficient number, since it is larger than the sum of its proper divisors (182036392923).

407248785117 is a wasteful number, since it uses less digits than its factorization.

407248785117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36253 (or 36250 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 407248785117 in words is "four hundred seven billion, two hundred forty-eight million, seven hundred eighty-five thousand, one hundred seventeen".