401401728 has 288 divisors, whose sum is σ = 1449662760. Its totient is φ = 105670656.

The previous prime is 401401717. The next prime is 401401729. The reversal of 401401728 is 827104104.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×401401728² = 322246694482771968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401401729) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733551 + ... + 734097.

Almost surely, 2^401401728 is an apocalyptic number.

401401728 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 401401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724831380).

401401728 is an abundant number, since it is smaller than the sum of its proper divisors (1048261032).

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

401401728 is a wasteful number, since it uses less digits than its factorization.

401401728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 401401728 is about 20035.0125530283. The cubic root of 401401728 is about 737.6659646791.

The spelling of 401401728 in words is "four hundred one million, four hundred one thousand, seven hundred twenty-eight".