414365056 has 64 divisors (see below), whose sum is σ = 984487680. Its totient is φ = 169855488.

The previous prime is 414365047. The next prime is 414365057. The reversal of 414365056 is 650563414.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414365057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10555 + ... + 30661.

It is an arithmetic number, because the mean of its divisors is an integer number (15382620).

Almost surely, 2^414365056 is an apocalyptic number.

414365056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492243840).

414365056 is an abundant number, since it is smaller than the sum of its proper divisors (570122624).

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

414365056 is a wasteful number, since it uses less digits than its factorization.

414365056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20151 (or 20139 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 414365056 is about 20355.9587344836. The cubic root of 414365056 is about 745.5229911807.

The spelling of 414365056 in words is "four hundred fourteen million, three hundred sixty-five thousand, fifty-six".