400448800 has 72 divisors (see below), whose sum is σ = 991131876. Its totient is φ = 157962240.

The previous prime is 400448779. The next prime is 400448801. The reversal of 400448800 is 8844004.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 41422096 + 359026704 = 6436^2 + 18948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400448801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54972 + ... + 61828.

Almost surely, 2^400448800 is an apocalyptic number.

400448800 is a gapful number since it is divisible by the number (40) 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 400448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495565938).

400448800 is an abundant number, since it is smaller than the sum of its proper divisors (590683076).

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

400448800 is a wasteful number, since it uses less digits than its factorization.

400448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6950 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 400448800 is about 20011.2168545543. The cubic root of 400448800 is about 737.0817622869.

The spelling of 400448800 in words is "four hundred million, four hundred forty-eight thousand, eight hundred".