405716085 has 12 divisors (see below), whose sum is σ = 703241292. Its totient is φ = 216381888.

The previous prime is 405716071. The next prime is 405716093. The reversal of 405716085 is 580617504.

405716085 is a `hidden beast` number, since 4 + 0 + 571 + 6 + 0 + 85 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105144516 + 300571569 = 10254^2 + 17337^2 .

It is not a de Polignac number, because 405716085 - 2⁵ = 405716053 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 4507912 + ... + 4508001.

It is an arithmetic number, because the mean of its divisors is an integer number (58603441).

Almost surely, 2^405716085 is an apocalyptic number.

405716085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405716085 is a deficient number, since it is larger than the sum of its proper divisors (297525207).

405716085 is a wasteful number, since it uses less digits than its factorization.

405716085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9015924 (or 9015921 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 405716085 is about 20142.3952150681. The cubic root of 405716085 is about 740.2994192513.

It can be divided in two parts, 40571 and 6085, that added together give a 6-th power (46656 = 6⁶).

The spelling of 405716085 in words is "four hundred five million, seven hundred sixteen thousand, eighty-five".