407085905 has 16 divisors (see below), whose sum is σ = 505958400. Its totient is φ = 314059200.

The previous prime is 407085881. The next prime is 407085907. The reversal of 407085905 is 509580704.

It is not a de Polignac number, because 407085905 - 2⁶ = 407085841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (407085907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207680 + ... + 209630.

It is an arithmetic number, because the mean of its divisors is an integer number (31622400).

Almost surely, 2^407085905 is an apocalyptic number.

It is an amenable number.

407085905 is a deficient number, since it is larger than the sum of its proper divisors (98872495).

407085905 is a wasteful number, since it uses less digits than its factorization.

407085905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424.

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 407085905 is about 20176.3699658784. The cubic root of 407085905 is about 741.1316414605.

The spelling of 407085905 in words is "four hundred seven million, eighty-five thousand, nine hundred five".