414005634 has 64 divisors (see below), whose sum is σ = 1075937280. Its totient is φ = 115531920.

The previous prime is 414005629. The next prime is 414005639. The reversal of 414005634 is 436500414.

It is an interprime number because it is at equal distance from previous prime (414005629) and next prime (414005639).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 414005598 and 414005607.

It is not an unprimeable number, because it can be changed into a prime (414005639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3519 + ... + 28989.

It is an arithmetic number, because the mean of its divisors is an integer number (16811520).

Almost surely, 2^414005634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414005634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537968640).

414005634 is an abundant number, since it is smaller than the sum of its proper divisors (661931646).

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

414005634 is a wasteful number, since it uses less digits than its factorization.

414005634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25532 (or 25526 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 414005634 is about 20347.1283969016. The cubic root of 414005634 is about 745.3073722285.

The spelling of 414005634 in words is "four hundred fourteen million, five thousand, six hundred thirty-four".