414007220 has 24 divisors (see below), whose sum is σ = 948453408. Its totient is φ = 150548000.

The previous prime is 414007151. The next prime is 414007249. The reversal of 414007220 is 22700414.

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 = 414007192 and 414007201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 940706 + ... + 941145.

It is an arithmetic number, because the mean of its divisors is an integer number (39518892).

Almost surely, 2^414007220 is an apocalyptic number.

It is an amenable number.

414007220 is an abundant number, since it is smaller than the sum of its proper divisors (534446188).

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

414007220 is a wasteful number, since it uses less digits than its factorization.

414007220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881871 (or 1881869 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 414007220 is about 20347.1673704228. The cubic root of 414007220 is about 745.3083239514.

Adding to 414007220 its reverse (22700414), we get a palindrome (436707634).

The spelling of 414007220 in words is "four hundred fourteen million, seven thousand, two hundred twenty".