418664064 has 128 divisors (see below), whose sum is σ = 1368823680. Its totient is φ = 110407680.

The previous prime is 418664063. The next prime is 418664111. The reversal of 418664064 is 460466814.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (418664063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28954 + ... + 40934.

It is an arithmetic number, because the mean of its divisors is an integer number (10693935).

Almost surely, 2^418664064 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 418664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684411840).

418664064 is an abundant number, since it is smaller than the sum of its proper divisors (950159616).

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

418664064 is a wasteful number, since it uses less digits than its factorization.

418664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12018 (or 12006 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 418664064 is about 20461.2820712682. The cubic root of 418664064 is about 748.0923751816.

The spelling of 418664064 in words is "four hundred eighteen million, six hundred sixty-four thousand, sixty-four".