4072446405 has 24 divisors (see below), whose sum is σ = 7063388280. Its totient is φ = 2170592640.

The previous prime is 4072446359. The next prime is 4072446439. The reversal of 4072446405 is 5046442704.

4072446405 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 4 + 4 + 640 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 702992196 + 3369454209 = 26514^2 + 58047^2 .

It is not a de Polignac number, because 4072446405 - 2⁶ = 4072446341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4072446405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45031 + ... + 100859.

It is an arithmetic number, because the mean of its divisors is an integer number (294307845).

Almost surely, 2^4072446405 is an apocalyptic number.

4072446405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4072446405 is a deficient number, since it is larger than the sum of its proper divisors (2990941875).

4072446405 is a wasteful number, since it uses less digits than its factorization.

4072446405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57461 (or 57458 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 4072446405 is about 63815.7222398995. The cubic root of 4072446405 is about 1596.9272282248.

The spelling of 4072446405 in words is "four billion, seventy-two million, four hundred forty-six thousand, four hundred five".