418328064 has 400 divisors, whose sum is σ = 1568578176. Its totient is φ = 107827200.

The previous prime is 418328047. The next prime is 418328069. The reversal of 418328064 is 460823814.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418328069) 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 39 ways as a sum of consecutive naturals, for example, 3193279 + ... + 3193409.

Almost surely, 2^418328064 is an apocalyptic number.

418328064 is a gapful number since it is divisible by the number (44) 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 418328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784289088).

418328064 is an abundant number, since it is smaller than the sum of its proper divisors (1150250112).

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

418328064 is a wasteful number, since it uses less digits than its factorization.

418328064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 418328064 is about 20453.0697940431. The cubic root of 418328064 is about 747.8921937532.

The spelling of 418328064 in words is "four hundred eighteen million, three hundred twenty-eight thousand, sixty-four".