406864128 has 144 divisors (see below), whose sum is σ = 1251222336. Its totient is φ = 115998720.

The previous prime is 406864127. The next prime is 406864147. The reversal of 406864128 is 821468604.

It is not an unprimeable number, because it can be changed into a prime (406864121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142200 + ... + 145032.

It is an arithmetic number, because the mean of its divisors is an integer number (8689044).

Almost surely, 2^406864128 is an apocalyptic number.

406864128 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 406864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625611168).

406864128 is an abundant number, since it is smaller than the sum of its proper divisors (844358208).

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

406864128 is a wasteful number, since it uses less digits than its factorization.

406864128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 406864128 is about 20170.8732582405. The cubic root of 406864128 is about 740.9970295702.

The spelling of 406864128 in words is "four hundred six million, eight hundred sixty-four thousand, one hundred twenty-eight".