400241728 has 56 divisors (see below), whose sum is σ = 821250072. Its totient is φ = 193388544.

The previous prime is 400241717. The next prime is 400241747. The reversal of 400241728 is 827142004.

It can be written as a sum of positive squares in 4 ways, for example, as 325730304 + 74511424 = 18048^2 + 8632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 400241696 and 400241705.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 409176 + ... + 410152.

Almost surely, 2^400241728 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 400241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410625036).

400241728 is an abundant number, since it is smaller than the sum of its proper divisors (421008344).

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

400241728 is a wasteful number, since it uses less digits than its factorization.

400241728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 400241728 is about 20006.0422872691. The cubic root of 400241728 is about 736.9546921009.

The spelling of 400241728 in words is "four hundred million, two hundred forty-one thousand, seven hundred twenty-eight".