418873896 has 128 divisors (see below), whose sum is σ = 1334880000. Its totient is φ = 119218176.

The previous prime is 418873877. The next prime is 418873921. The reversal of 418873896 is 698378814.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 678580 + ... + 679196.

It is an arithmetic number, because the mean of its divisors is an integer number (10428750).

Almost surely, 2^418873896 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 418873896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667440000).

418873896 is an abundant number, since it is smaller than the sum of its proper divisors (916006104).

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

418873896 is a wasteful number, since it uses less digits than its factorization.

418873896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1078 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 418873896 is about 20466.4089668901. The cubic root of 418873896 is about 748.2173341605.

The spelling of 418873896 in words is "four hundred eighteen million, eight hundred seventy-three thousand, eight hundred ninety-six".