401027328 has 144 divisors (see below), whose sum is σ = 1277418240. Its totient is φ = 123365376.

The previous prime is 401027323. The next prime is 401027369. The reversal of 401027328 is 823720104.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401027323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87625 + ... + 92087.

It is an arithmetic number, because the mean of its divisors is an integer number (8870960).

Almost surely, 2^401027328 is an apocalyptic number.

401027328 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 401027328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638709120).

401027328 is an abundant number, since it is smaller than the sum of its proper divisors (876390912).

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

401027328 is a wasteful number, since it uses less digits than its factorization.

401027328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 401027328 is about 20025.6667304737. Note that the first 3 decimals coincide. The cubic root of 401027328 is about 737.4365452635.

The spelling of 401027328 in words is "four hundred one million, twenty-seven thousand, three hundred twenty-eight".