414100120 has 32 divisors (see below), whose sum is σ = 1064829600. Its totient is φ = 141977088.

The previous prime is 414100109. The next prime is 414100129. The reversal of 414100120 is 21001414.

It is a self number, because there is not a number n which added to its sum of digits gives 414100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414100129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739185 + ... + 739744.

It is an arithmetic number, because the mean of its divisors is an integer number (33275925).

Almost surely, 2^414100120 is an apocalyptic number.

414100120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414100120 is an abundant number, since it is smaller than the sum of its proper divisors (650729480).

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

414100120 is a wasteful number, since it uses less digits than its factorization.

414100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478947 (or 1478943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 414100120 is about 20349.4501154208. The cubic root of 414100120 is about 745.3640669125.

Adding to 414100120 its reverse (21001414), we get a palindrome (435101534).

The spelling of 414100120 in words is "four hundred fourteen million, one hundred thousand, one hundred twenty".