416090792601 has 45 divisors (see below), whose sum is σ = 661490183055. Its totient is φ = 252034326720.

The previous prime is 416090792573. The next prime is 416090792617. The reversal of 416090792601 is 106297090614.

The square root of 416090792601 is 645051.

It is a perfect power (a square), and thus also a powerful number.

416090792601 is a `hidden beast` number, since 416 + 0 + 90 + 7 + 92 + 60 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 210860048025 + 205230744576 = 459195^2 + 453024^2 .

It is not a de Polignac number, because 416090792601 - 2¹¹ = 416090790553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416090792671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 234152625 + ... + 234154401.

Almost surely, 2^416090792601 is an apocalyptic number.

416090792601 is the 645051-st square number.

416090792601 is the 322526-th centered octagonal number.

It is an amenable number.

416090792601 is a deficient number, since it is larger than the sum of its proper divisors (245399390454).

416090792601 is an frugal number, since it uses more digits than its factorization.

416090792601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 416090792601 in words is "four hundred sixteen billion, ninety million, seven hundred ninety-two thousand, six hundred one".