407607385 has 16 divisors (see below), whose sum is σ = 522496656. Its totient is φ = 304181248.

The previous prime is 407607377. The next prime is 407607391. The reversal of 407607385 is 583706704.

It can be written as a sum of positive squares in 8 ways, for example, as 7767369 + 399840016 = 2787^2 + 19996^2 .

It is a cyclic number.

It is not a de Polignac number, because 407607385 - 2³ = 407607377 is a prime.

It is a super-2 number, since 2×407607385² = 332287560613076450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11614 + ... + 30823.

It is an arithmetic number, because the mean of its divisors is an integer number (32656041).

Almost surely, 2^407607385 is an apocalyptic number.

It is an amenable number.

407607385 is a deficient number, since it is larger than the sum of its proper divisors (114889271).

407607385 is a wasteful number, since it uses less digits than its factorization.

407607385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42572.

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 407607385 is about 20189.2888681102. The cubic root of 407607385 is about 741.4479714298.

The spelling of 407607385 in words is "four hundred seven million, six hundred seven thousand, three hundred eighty-five".