407076161 has 8 divisors (see below), whose sum is σ = 422253480. Its totient is φ = 391974912.

The previous prime is 407076151. The next prime is 407076193. The reversal of 407076161 is 161670704.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34586161 + 372490000 = 5881^2 + 19300^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 407076161 - 2¹⁴ = 407059777 is a prime.

It is a super-2 number, since 2×407076161² = 331422001708995842, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407076151) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8000 + ... + 29633.

It is an arithmetic number, because the mean of its divisors is an integer number (52781685).

Almost surely, 2^407076161 is an apocalyptic number.

It is an amenable number.

407076161 is a deficient number, since it is larger than the sum of its proper divisors (15177319).

407076161 is a wasteful number, since it uses less digits than its factorization.

407076161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38035.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 407076161 is about 20176.1284938414. The cubic root of 407076161 is about 741.1257281760.

The spelling of 407076161 in words is "four hundred seven million, seventy-six thousand, one hundred sixty-one".