414538967 has 8 divisors (see below), whose sum is σ = 422820000. Its totient is φ = 406325920.

The previous prime is 414538961. The next prime is 414538997. The reversal of 414538967 is 769835414.

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 414538967 - 2¹⁸ = 414276823 is a prime.

It is a super-2 number, since 2×414538967² = 343685110322854178, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414538961) 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 7 ways as a sum of consecutive naturals, for example, 4592 + ... + 29157.

It is an arithmetic number, because the mean of its divisors is an integer number (52852500).

Almost surely, 2^414538967 is an apocalyptic number.

414538967 is a deficient number, since it is larger than the sum of its proper divisors (8281033).

414538967 is a wasteful number, since it uses less digits than its factorization.

414538967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33993.

The product of its digits is 725760, while the sum is 47.

The square root of 414538967 is about 20360.2300330816. The cubic root of 414538967 is about 745.6272764499.

The spelling of 414538967 in words is "four hundred fourteen million, five hundred thirty-eight thousand, nine hundred sixty-seven".