414122256 has 60 divisors (see below), whose sum is σ = 1166805900. Its totient is φ = 137107200.

The previous prime is 414122249. The next prime is 414122257. The reversal of 414122256 is 652221414.

It can be written as a sum of positive squares in 2 ways, for example, as 131882256 + 282240000 = 11484^2 + 16800^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414122257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11806 + ... + 31106.

It is an arithmetic number, because the mean of its divisors is an integer number (19446765).

Almost surely, 2^414122256 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 414122256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583402950).

414122256 is an abundant number, since it is smaller than the sum of its proper divisors (752683644).

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

414122256 is a wasteful number, since it uses less digits than its factorization.

414122256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19464 (or 19455 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 414122256 is about 20349.9940049131. The cubic root of 414122256 is about 745.3773479881.

The spelling of 414122256 in words is "four hundred fourteen million, one hundred twenty-two thousand, two hundred fifty-six".