418160928 has 48 divisors (see below), whose sum is σ = 1105604640. Its totient is φ = 138379776.

The previous prime is 418160921. The next prime is 418160969. The reversal of 418160928 is 829061814.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (418160921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2325 + ... + 29012.

It is an arithmetic number, because the mean of its divisors is an integer number (23033430).

Almost surely, 2^418160928 is an apocalyptic number.

418160928 is a gapful number since it is divisible by the number (48) 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 418160928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552802320).

418160928 is an abundant number, since it is smaller than the sum of its proper divisors (687443712).

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

418160928 is a wasteful number, since it uses less digits than its factorization.

418160928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31489 (or 31481 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 418160928 is about 20448.9835444210. The cubic root of 418160928 is about 747.7925778685.

The spelling of 418160928 in words is "four hundred eighteen million, one hundred sixty thousand, nine hundred twenty-eight".