416128000 has 88 divisors (see below), whose sum is σ = 1038467664. Its totient is φ = 166400000.

The previous prime is 416127991. The next prime is 416128021. The reversal of 416128000 is 821614.

It is a congruent number.

It is an unprimeable number.

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, 126375 + ... + 129625.

Almost surely, 2^416128000 is an apocalyptic number.

416128000 is a gapful number since it is divisible by the number (40) 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 416128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519233832).

416128000 is an abundant number, since it is smaller than the sum of its proper divisors (622339664).

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

416128000 is an equidigital number, since it uses as much as digits as its factorization.

416128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 416128000 is about 20399.2156711968. The cubic root of 416128000 is about 746.5787878435.

Adding to 416128000 its reverse (821614), we get a palindrome (416949614).

The spelling of 416128000 in words is "four hundred sixteen million, one hundred twenty-eight thousand".