418279968 has 144 divisors (see below), whose sum is σ = 1294052760. Its totient is φ = 127623168.

The previous prime is 418279933. The next prime is 418279997. The reversal of 418279968 is 869972814.

It can be written as a sum of positive squares in 4 ways, for example, as 406909584 + 11370384 = 20172^2 + 3372^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 179998 + ... + 182306.

Almost surely, 2^418279968 is an apocalyptic number.

418279968 is a gapful number since it is divisible by the number (48) 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 418279968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647026380).

418279968 is an abundant number, since it is smaller than the sum of its proper divisors (875772792).

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

418279968 is a wasteful number, since it uses less digits than its factorization.

418279968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2368 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 418279968 is about 20451.8939954225. The cubic root of 418279968 is about 747.8635304427.

The spelling of 418279968 in words is "four hundred eighteen million, two hundred seventy-nine thousand, nine hundred sixty-eight".