418764216 has 128 divisors (see below), whose sum is σ = 1159441920. Its totient is φ = 125259264.

The previous prime is 418764211. The next prime is 418764217. The reversal of 418764216 is 612467814.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418764211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2667210 + ... + 2667366.

It is an arithmetic number, because the mean of its divisors is an integer number (9058140).

Almost surely, 2^418764216 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 418764216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579720960).

418764216 is an abundant number, since it is smaller than the sum of its proper divisors (740677704).

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

418764216 is a wasteful number, since it uses less digits than its factorization.

418764216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 418764216 is about 20463.7292788973. The cubic root of 418764216 is about 748.1520228247.

The spelling of 418764216 in words is "four hundred eighteen million, seven hundred sixty-four thousand, two hundred sixteen".