400220128 has 96 divisors (see below), whose sum is σ = 999371520. Its totient is φ = 153231360.

The previous prime is 400220111. The next prime is 400220129. The reversal of 400220128 is 821022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400220129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144000 + ... + 146752.

It is an arithmetic number, because the mean of its divisors is an integer number (10410120).

Almost surely, 2^400220128 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 400220128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499685760).

400220128 is an abundant number, since it is smaller than the sum of its proper divisors (599151392).

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

400220128 is a wasteful number, since it uses less digits than its factorization.

400220128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 400220128 is about 20005.5024430780. The cubic root of 400220128 is about 736.9414346896.

The spelling of 400220128 in words is "four hundred million, two hundred twenty thousand, one hundred twenty-eight".