414003101 has 8 divisors (see below), whose sum is σ = 439855320. Its totient is φ = 388922688.

The previous prime is 414003077. The next prime is 414003131. The reversal of 414003101 is 101300414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 294122500 + 119880601 = 17150^2 + 10949^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-414003101 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 (414003131) 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 7 ways as a sum of consecutive naturals, for example, 191846 + ... + 193991.

It is an arithmetic number, because the mean of its divisors is an integer number (54981915).

Almost surely, 2^414003101 is an apocalyptic number.

It is an amenable number.

414003101 is a deficient number, since it is larger than the sum of its proper divisors (25852219).

414003101 is a wasteful number, since it uses less digits than its factorization.

414003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385903.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 414003101 is about 20347.0661521508. The cubic root of 414003101 is about 745.3058522271.

Adding to 414003101 its reverse (101300414), we get a palindrome (515303515).

The spelling of 414003101 in words is "four hundred fourteen million, three thousand, one hundred one".