414132007 has 8 divisors (see below), whose sum is σ = 428457600. Its totient is φ = 399866880.

The previous prime is 414132001. The next prime is 414132023. The reversal of 414132007 is 700231414.

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 414132007 - 2¹¹ = 414129959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414132001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 958 + ... + 28795.

It is an arithmetic number, because the mean of its divisors is an integer number (53557200).

Almost surely, 2^414132007 is an apocalyptic number.

414132007 is a deficient number, since it is larger than the sum of its proper divisors (14325593).

414132007 is a wasteful number, since it uses less digits than its factorization.

414132007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30233.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 414132007 is about 20350.2335858830. The cubic root of 414132007 is about 745.3831982069.

The spelling of 414132007 in words is "four hundred fourteen million, one hundred thirty-two thousand, seven".