414087044 has 54 divisors (see below), whose sum is σ = 867343806. Its totient is φ = 172374720.

The previous prime is 414087041. The next prime is 414087067. The reversal of 414087044 is 440780414.

It can be written as a sum of positive squares in only one way, i.e., 252492100 + 161594944 = 15890^2 + 12712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414087044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414087041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1824059 + ... + 1824285.

Almost surely, 2^414087044 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 414087044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433671903).

414087044 is an abundant number, since it is smaller than the sum of its proper divisors (453256762).

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

414087044 is a wasteful number, since it uses less digits than its factorization.

414087044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 414087044 is about 20349.1288265616. The cubic root of 414087044 is about 745.3562213999.

The spelling of 414087044 in words is "four hundred fourteen million, eighty-seven thousand, forty-four".