414161667 has 56 divisors (see below), whose sum is σ = 686543904. Its totient is φ = 248396544.

The previous prime is 414161567. The next prime is 414161707. The reversal of 414161667 is 766161414.

It is a happy number.

It is not a de Polignac number, because 414161667 - 2¹² = 414157571 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414161567) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 284313 + ... + 285765.

Almost surely, 2^414161667 is an apocalyptic number.

414161667 is a deficient number, since it is larger than the sum of its proper divisors (272382237).

414161667 is a wasteful number, since it uses less digits than its factorization.

414161667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1496 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 414161667 is about 20350.9623113994. The cubic root of 414161667 is about 745.4009924831.

The spelling of 414161667 in words is "four hundred fourteen million, one hundred sixty-one thousand, six hundred sixty-seven".