400200304 has 80 divisors (see below), whose sum is σ = 914941440. Its totient is φ = 166037760.

The previous prime is 400200301. The next prime is 400200323. The reversal of 400200304 is 403002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400200301) 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, 468742 + ... + 469594.

It is an arithmetic number, because the mean of its divisors is an integer number (11436768).

Almost surely, 2^400200304 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 400200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457470720).

400200304 is an abundant number, since it is smaller than the sum of its proper divisors (514741136).

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

400200304 is a wasteful number, since it uses less digits than its factorization.

400200304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 400200304 is about 20005.0069732555. The cubic root of 400200304 is about 736.9292669122.

Adding to 400200304 its reverse (403002004), we get a palindrome (803202308).

It can be divided in two parts, 400 and 200304, that added together give a square (200704 = 448²).

The spelling of 400200304 in words is "four hundred million, two hundred thousand, three hundred four".