407675417346 has 24 divisors (see below), whose sum is σ = 884882570364. Its totient is φ = 135647831520.

The previous prime is 407675417297. The next prime is 407675417467. The reversal of 407675417346 is 643714576704.

It is a happy number.

407675417346 is a `hidden beast` number, since 4 + 0 + 7 + 67 + 541 + 7 + 34 + 6 = 666.

407675417346 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 359233608321 + 48441809025 = 599361^2 + 220095^2 .

It is a junction number, because it is equal to n+sod(n) for n = 407675417292 and 407675417301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20320885 + ... + 20340936.

Almost surely, 2^407675417346 is an apocalyptic number.

407675417346 is an abundant number, since it is smaller than the sum of its proper divisors (477207153018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407675417346 is a wasteful number, since it uses less digits than its factorization.

407675417346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40662386 (or 40662383 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 407675417346 in words is "four hundred seven billion, six hundred seventy-five million, four hundred seventeen thousand, three hundred forty-six".