400016800 has 144 divisors (see below), whose sum is σ = 1051807680. Its totient is φ = 148008960.

The previous prime is 400016797. The next prime is 400016801. The reversal of 400016800 is 8610004.

It is not an unprimeable number, because it can be changed into a prime (400016801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 910981 + ... + 911419.

It is an arithmetic number, because the mean of its divisors is an integer number (7304220).

Almost surely, 2^400016800 is an apocalyptic number.

400016800 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 400016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525903840).

400016800 is an abundant number, since it is smaller than the sum of its proper divisors (651790880).

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

400016800 is a wasteful number, since it uses less digits than its factorization.

400016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 400016800 is about 20000.4199955901. The cubic root of 400016800 is about 736.8166148719.

Adding to 400016800 its reverse (8610004), we get a palindrome (408626804).

The spelling of 400016800 in words is "four hundred million, sixteen thousand, eight hundred".