414481536 has 160 divisors (see below), whose sum is σ = 1409950080. Its totient is φ = 118402560.

The previous prime is 414481489. The next prime is 414481541. The reversal of 414481536 is 635184414.

414481536 is a `hidden beast` number, since 4 + 1 + 44 + 81 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 414481536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69721 + ... + 75431.

It is an arithmetic number, because the mean of its divisors is an integer number (8812188).

Almost surely, 2^414481536 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 414481536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704975040).

414481536 is an abundant number, since it is smaller than the sum of its proper divisors (995468544).

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

414481536 is an equidigital number, since it uses as much as digits as its factorization.

414481536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5723 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 414481536 is about 20358.8196121484. The cubic root of 414481536 is about 745.5928413295.

The spelling of 414481536 in words is "four hundred fourteen million, four hundred eighty-one thousand, five hundred thirty-six".