414882120 has 96 divisors (see below), whose sum is σ = 1289358720. Its totient is φ = 106794240.

The previous prime is 414882089. The next prime is 414882151. The reversal of 414882120 is 21288414.

It is an interprime number because it is at equal distance from previous prime (414882089) and next prime (414882151).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98865 + ... + 102975.

It is an arithmetic number, because the mean of its divisors is an integer number (13430820).

Almost surely, 2^414882120 is an apocalyptic number.

414882120 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 414882120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644679360).

414882120 is an abundant number, since it is smaller than the sum of its proper divisors (874476600).

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

414882120 is a wasteful number, since it uses less digits than its factorization.

414882120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 414882120 is about 20368.6553311700. The cubic root of 414882120 is about 745.8329617121.

It can be divided in two parts, 4148 and 82120, that added together give a palindrome (86268).

The spelling of 414882120 in words is "four hundred fourteen million, eight hundred eighty-two thousand, one hundred twenty".