414234100 has 72 divisors (see below), whose sum is σ = 1030434048. Its totient is φ = 141590400.

The previous prime is 414234097. The next prime is 414234101. The reversal of 414234100 is 1432414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414234101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301014 + ... + 302386.

It is an arithmetic number, because the mean of its divisors is an integer number (14311584).

Almost surely, 2^414234100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515217024).

414234100 is an abundant number, since it is smaller than the sum of its proper divisors (616199948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414234100 is a wasteful number, since it uses less digits than its factorization.

414234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 414234100 is about 20352.7418300336. The cubic root of 414234100 is about 745.4444445029. Note that the first 6 decimals are identical.

Adding to 414234100 its reverse (1432414), we get a palindrome (415666514).

The spelling of 414234100 in words is "four hundred fourteen million, two hundred thirty-four thousand, one hundred".