407727085356 has 36 divisors (see below), whose sum is σ = 1040275657512. Its totient is φ = 134638849344.

The previous prime is 407727085327. The next prime is 407727085379. The reversal of 407727085356 is 653580727704.

It is a happy number.

407727085356 is a `hidden beast` number, since 407 + 72 + 70 + 8 + 53 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×407727085356³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 52920225 + ... + 52927928.

It is an arithmetic number, because the mean of its divisors is an integer number (28896546042).

Almost surely, 2^407727085356 is an apocalyptic number.

It is an amenable number.

407727085356 is an abundant number, since it is smaller than the sum of its proper divisors (632548572156).

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

407727085356 is a wasteful number, since it uses less digits than its factorization.

407727085356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105848270 (or 105848265 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 407727085356 in words is "four hundred seven billion, seven hundred twenty-seven million, eighty-five thousand, three hundred fifty-six".