414322101 has 32 divisors (see below), whose sum is σ = 637200000. Its totient is φ = 265757184.

The previous prime is 414322091. The next prime is 414322109. The reversal of 414322101 is 101223414.

It is a de Polignac number, because none of the positive numbers 2^k-414322101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414322109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275650 + ... + 277148.

It is an arithmetic number, because the mean of its divisors is an integer number (19912500).

Almost surely, 2^414322101 is an apocalyptic number.

It is an amenable number.

414322101 is a deficient number, since it is larger than the sum of its proper divisors (222877899).

414322101 is a wasteful number, since it uses less digits than its factorization.

414322101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 414322101 is about 20354.9036106782. The cubic root of 414322101 is about 745.4972288356.

Adding to 414322101 its reverse (101223414), we get a palindrome (515545515).

It can be divided in two parts, 4143 and 22101, that added together give a square (26244 = 162²).

The spelling of 414322101 in words is "four hundred fourteen million, three hundred twenty-two thousand, one hundred one".