400304304 has 90 divisors (see below), whose sum is σ = 1190196020. Its totient is φ = 125572608.

The previous prime is 400304237. The next prime is 400304327. The reversal of 400304304 is 403403004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36807 + ... + 46425.

Almost surely, 2^400304304 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 400304304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595098010).

400304304 is an abundant number, since it is smaller than the sum of its proper divisors (789891716).

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

400304304 is a wasteful number, since it uses less digits than its factorization.

400304304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9667 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 400304304 is about 20007.6061536607. The cubic root of 400304304 is about 736.9930966204.

Adding to 400304304 its reverse (403403004), we get a palindrome (803707308).

It can be divided in two parts, 400 and 304304, that added together give a square (304704 = 552²).

The spelling of 400304304 in words is "four hundred million, three hundred four thousand, three hundred four".