418081824 has 120 divisors (see below), whose sum is σ = 1242518508. Its totient is φ = 137894400.

The previous prime is 418081813. The next prime is 418081831. The reversal of 418081824 is 428180814.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 410791824 + 7290000 = 20268^2 + 2700^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 260994 + ... + 262590.

Almost surely, 2^418081824 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 418081824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621259254).

418081824 is an abundant number, since it is smaller than the sum of its proper divisors (824436684).

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

418081824 is a wasteful number, since it uses less digits than its factorization.

418081824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 418081824 is about 20447.0492736727. The cubic root of 418081824 is about 747.7454212911.

The spelling of 418081824 in words is "four hundred eighteen million, eighty-one thousand, eight hundred twenty-four".