400928 has 48 divisors (see below), whose sum is σ = 925344. Its totient is φ = 168960.

The previous prime is 400927. The next prime is 400931. The reversal of 400928 is 829004.

It is a super-3 number, since 3×400928³ = 193339422659936256, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (400927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5951 + ... + 6017.

It is an arithmetic number, because the mean of its divisors is an integer number (19278).

2⁴⁰⁰⁹²⁸ 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 400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672).

400928 is an abundant number, since it is smaller than the sum of its proper divisors (524416).

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

400928 is a wasteful number, since it uses less digits than its factorization.

400928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 400928 is about 633.1887554276. The cubic root of 400928 is about 73.7375656524.

The spelling of 400928 in words is "four hundred thousand, nine hundred twenty-eight".