418328484 has 144 divisors (see below), whose sum is σ = 1175549760. Its totient is φ = 115395840.

The previous prime is 418328483. The next prime is 418328489. The reversal of 418328484 is 484823814.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (418328483) 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 47 ways as a sum of consecutive naturals, for example, 3837822 + ... + 3837930.

It is an arithmetic number, because the mean of its divisors is an integer number (8163540).

Almost surely, 2^418328484 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 418328484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587774880).

418328484 is an abundant number, since it is smaller than the sum of its proper divisors (757221276).

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

418328484 is a wasteful number, since it uses less digits than its factorization.

418328484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 418328484 is about 20453.0800614480. The cubic root of 418328484 is about 747.8924440469.

The spelling of 418328484 in words is "four hundred eighteen million, three hundred twenty-eight thousand, four hundred eighty-four".