414024001 has 12 divisors (see below), whose sum is σ = 443063628. Its totient is φ = 386788352.

The previous prime is 414023993. The next prime is 414024067. The reversal of 414024001 is 100420414.

It can be written as a sum of positive squares in 6 ways, for example, as 122434225 + 291589776 = 11065^2 + 17076^2 .

It is not a de Polignac number, because 414024001 - 2³ = 414023993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414024301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34365 + ... + 44821.

It is an arithmetic number, because the mean of its divisors is an integer number (36921969).

Almost surely, 2^414024001 is an apocalyptic number.

It is an amenable number.

414024001 is a deficient number, since it is larger than the sum of its proper divisors (29039627).

414024001 is a wasteful number, since it uses less digits than its factorization.

414024001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10628 (or 10611 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 414024001 is about 20347.5797332263. The cubic root of 414024001 is about 745.3183937033.

Adding to 414024001 its reverse (100420414), we get a palindrome (514444415).

The spelling of 414024001 in words is "four hundred fourteen million, twenty-four thousand, one".