400795728 has 80 divisors (see below), whose sum is σ = 1093174080. Its totient is φ = 126185472.

The previous prime is 400795727. The next prime is 400795753. The reversal of 400795728 is 827597004.

It is a self number, because there is not a number n which added to its sum of digits gives 400795728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400795727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595200 + ... + 595872.

It is an arithmetic number, because the mean of its divisors is an integer number (13664676).

Almost surely, 2^400795728 is an apocalyptic number.

400795728 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 400795728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546587040).

400795728 is an abundant number, since it is smaller than the sum of its proper divisors (692378352).

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

400795728 is a wasteful number, since it uses less digits than its factorization.

400795728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 400795728 is about 20019.8833163433. The cubic root of 400795728 is about 737.2945572736.

The spelling of 400795728 in words is "four hundred million, seven hundred ninety-five thousand, seven hundred twenty-eight".