414504001 has 16 divisors (see below), whose sum is σ = 428717520. Its totient is φ = 400619520.

The previous prime is 414503993. The next prime is 414504011. The reversal of 414504001 is 100405414.

414504001 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 8 ways, for example, as 32262400 + 382241601 = 5680^2 + 19551^2 .

It is a cyclic number.

It is not a de Polignac number, because 414504001 - 2³ = 414503993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414504001.

It is not an unprimeable number, because it can be changed into a prime (414504011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 898911 + ... + 899371.

It is an arithmetic number, because the mean of its divisors is an integer number (26794845).

Almost surely, 2^414504001 is an apocalyptic number.

It is an amenable number.

414504001 is a deficient number, since it is larger than the sum of its proper divisors (14213519).

414504001 is a wasteful number, since it uses less digits than its factorization.

414504001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 414504001 is about 20359.3713311585. The cubic root of 414504001 is about 745.6063115238.

Adding to 414504001 its reverse (100405414), we get a palindrome (514909415).

It can be divided in two parts, 41450 and 4001, that added together give a triangular number (45451 = T₃₀₁).

The spelling of 414504001 in words is "four hundred fourteen million, five hundred four thousand, one".