414012001 has 8 divisors (see below), whose sum is σ = 446239080. Its totient is φ = 381839232.

The previous prime is 414011989. The next prime is 414012019. The reversal of 414012001 is 100210414.

It can be written as a sum of positive squares in 4 ways, for example, as 128232976 + 285779025 = 11324^2 + 16905^2 .

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 414012001 - 2²¹ = 411914849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414012601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3021 + ... + 28933.

It is an arithmetic number, because the mean of its divisors is an integer number (55779885).

Almost surely, 2^414012001 is an apocalyptic number.

It is an amenable number.

414012001 is a deficient number, since it is larger than the sum of its proper divisors (32227079).

414012001 is a wasteful number, since it uses less digits than its factorization.

414012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27155.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 414012001 is about 20347.2848557246. The cubic root of 414012001 is about 745.3111929073.

Adding to 414012001 its reverse (100210414), we get a palindrome (514222415).

The spelling of 414012001 in words is "four hundred fourteen million, twelve thousand, one".