414120120 has 64 divisors (see below), whose sum is σ = 1247076000. Its totient is φ = 110012928.

The previous prime is 414120101. The next prime is 414120127. The reversal of 414120120 is 21021414.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 414120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414120127) 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, 25866 + ... + 38694.

Almost surely, 2^414120120 is an apocalyptic number.

414120120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623538000).

414120120 is an abundant number, since it is smaller than the sum of its proper divisors (832955880).

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

414120120 is a wasteful number, since it uses less digits than its factorization.

414120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13112 (or 13108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 414120120 is about 20349.9415232575. The cubic root of 414120120 is about 745.3760664593.

Adding to 414120120 its reverse (21021414), we get a palindrome (435141534).

The spelling of 414120120 in words is "four hundred fourteen million, one hundred twenty thousand, one hundred twenty".