414205220 has 96 divisors (see below), whose sum is σ = 1027748736. Its totient is φ = 138240000.

The previous prime is 414205217. The next prime is 414205237. The reversal of 414205220 is 22502414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 414205192 and 414205201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717572 + ... + 718148.

It is an arithmetic number, because the mean of its divisors is an integer number (10705716).

Almost surely, 2^414205220 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 414205220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513874368).

414205220 is an abundant number, since it is smaller than the sum of its proper divisors (613543516).

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

414205220 is a wasteful number, since it uses less digits than its factorization.

414205220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 414205220 is about 20352.0323309492. The cubic root of 414205220 is about 745.4271202122.

Adding to 414205220 its reverse (22502414), we get a palindrome (436707634).

The spelling of 414205220 in words is "four hundred fourteen million, two hundred five thousand, two hundred twenty".