414011220 has 48 divisors (see below), whose sum is σ = 1324837248. Its totient is φ = 94631040.

The previous prime is 414011219. The next prime is 414011261. The reversal of 414011220 is 22110414.

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 414011220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492451 + ... + 493290.

It is an arithmetic number, because the mean of its divisors is an integer number (27600776).

Almost surely, 2^414011220 is an apocalyptic number.

It is an amenable number.

414011220 is an abundant number, since it is smaller than the sum of its proper divisors (910826028).

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

414011220 is a wasteful number, since it uses less digits than its factorization.

414011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985760 (or 985758 counting only the distinct ones).

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

The square root of 414011220 is about 20347.2656639658. The cubic root of 414011220 is about 745.3107242507.

Adding to 414011220 its reverse (22110414), we get a palindrome (436121634).

The spelling of 414011220 in words is "four hundred fourteen million, eleven thousand, two hundred twenty".