407665649169 has 45 divisors (see below), whose sum is σ = 619661804619. Its totient is φ = 267091881840.

The previous prime is 407665649119. The next prime is 407665649173. The reversal of 407665649169 is 961946566704.

The square root of 407665649169 is 638487.

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

407665649169 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 6 + 564 + 9 + 1 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13256528769 + 394409120400 = 115137^2 + 628020^2 .

It is a de Polignac number, because none of the positive numbers 2^k-407665649169 is a prime.

It is a super-2 number, since 2×407665649169² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (407665649119) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 350528782 + ... + 350529944.

Almost surely, 2^407665649169 is an apocalyptic number.

407665649169 is the 638487-th square number.

407665649169 is the 319244-th centered octagonal number.

It is an amenable number.

407665649169 is a deficient number, since it is larger than the sum of its proper divisors (211996155450).

407665649169 is an frugal number, since it uses more digits than its factorization.

407665649169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 407665649169 in words is "four hundred seven billion, six hundred sixty-five million, six hundred forty-nine thousand, one hundred sixty-nine".