414066420 has 72 divisors (see below), whose sum is σ = 1262485224. Its totient is φ = 109847808.

The previous prime is 414066409. The next prime is 414066427. The reversal of 414066420 is 24660414.

414066420 is a `hidden beast` number, since 4 + 14 + 0 + 6 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 229704336 + 184362084 = 15156^2 + 13578^2 .

414066420 is a modest number, since divided by 66420 gives 4140 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414066427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29622 + ... + 41298.

It is an arithmetic number, because the mean of its divisors is an integer number (17534517).

Almost surely, 2^414066420 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 414066420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631242612).

414066420 is an abundant number, since it is smaller than the sum of its proper divisors (848418804).

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

414066420 is a wasteful number, since it uses less digits than its factorization.

414066420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11889 (or 11884 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 414066420 is about 20348.6220663710. The cubic root of 414066420 is about 745.3438468020.

The spelling of 414066420 in words is "four hundred fourteen million, sixty-six thousand, four hundred twenty".