418532480 has 64 divisors (see below), whose sum is σ = 1012737600. Its totient is φ = 165374976.

The previous prime is 418532473. The next prime is 418532591. The reversal of 418532480 is 84235814.

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

It is a self number, because there is not a number n which added to its sum of digits gives 418532480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49181 + ... + 57059.

It is an arithmetic number, because the mean of its divisors is an integer number (15824025).

Almost surely, 2^418532480 is an apocalyptic number.

418532480 is a gapful number since it is divisible by the number (40) 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 418532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506368800).

418532480 is an abundant number, since it is smaller than the sum of its proper divisors (594205120).

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

418532480 is an equidigital number, since it uses as much as digits as its factorization.

418532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7981 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 418532480 is about 20458.0663797926. The cubic root of 418532480 is about 748.0139930847.

The spelling of 418532480 in words is "four hundred eighteen million, five hundred thirty-two thousand, four hundred eighty".