414023001 has 24 divisors (see below), whose sum is σ = 653055840. Its totient is φ = 232569792.

The previous prime is 414022993. The next prime is 414023003. The reversal of 414023001 is 100320414.

It is not a de Polignac number, because 414023001 - 2³ = 414022993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414023003) 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 23 ways as a sum of consecutive naturals, for example, 15196 + ... + 32541.

It is an arithmetic number, because the mean of its divisors is an integer number (27210660).

Almost surely, 2^414023001 is an apocalyptic number.

It is an amenable number.

414023001 is a deficient number, since it is larger than the sum of its proper divisors (239032839).

414023001 is a wasteful number, since it uses less digits than its factorization.

414023001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47813 (or 47806 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 414023001 is about 20347.5551602643. Note that the first 3 decimals coincide. The cubic root of 414023001 is about 745.3177936423.

Adding to 414023001 its reverse (100320414), we get a palindrome (514343415).

The spelling of 414023001 in words is "four hundred fourteen million, twenty-three thousand, one".