414201120 has 48 divisors (see below), whose sum is σ = 1304735040. Its totient is φ = 110453504.

The previous prime is 414201119. The next prime is 414201127. The reversal of 414201120 is 21102414.

It is a tau number, because it is divible by the number of its divisors (48).

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 414201120.

It is not an unprimeable number, because it can be changed into a prime (414201127) 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, 430980 + ... + 431939.

It is an arithmetic number, because the mean of its divisors is an integer number (27181980).

Almost surely, 2^414201120 is an apocalyptic number.

414201120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414201120 is an abundant number, since it is smaller than the sum of its proper divisors (890533920).

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

414201120 is a wasteful number, since it uses less digits than its factorization.

414201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862937 (or 862929 counting only the distinct ones).

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

The square root of 414201120 is about 20351.9316036587. The cubic root of 414201120 is about 745.4246606735.

Adding to 414201120 its reverse (21102414), we get a palindrome (435303534).

The spelling of 414201120 in words is "four hundred fourteen million, two hundred one thousand, one hundred twenty".