418319680 has 112 divisors (see below), whose sum is σ = 1064581056. Its totient is φ = 156016640.

The previous prime is 418319677. The next prime is 418319683. The reversal of 418319680 is 86913814.

It is an interprime number because it is at equal distance from previous prime (418319677) and next prime (418319683).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a cake number, because a cake can be divided into 418319680 parts by 1359 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418319683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 712347 + ... + 712933.

It is an arithmetic number, because the mean of its divisors is an integer number (9505188).

Almost surely, 2^418319680 is an apocalyptic number.

418319680 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 418319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532290528).

418319680 is an abundant number, since it is smaller than the sum of its proper divisors (646261376).

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

418319680 is a wasteful number, since it uses less digits than its factorization.

418319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 418319680 is about 20452.8648360077. The cubic root of 418319680 is about 747.8871973795.

The spelling of 418319680 in words is "four hundred eighteen million, three hundred nineteen thousand, six hundred eighty".