400304313 has 24 divisors (see below), whose sum is σ = 602027400. Its totient is φ = 255999744.

The previous prime is 400304237. The next prime is 400304327. The reversal of 400304313 is 313403004.

It can be written as a sum of positive squares in 4 ways, for example, as 18766224 + 381538089 = 4332^2 + 19533^2 .

It is not a de Polignac number, because 400304313 - 2¹² = 400300217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400304363) 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, 36093 + ... + 45861.

It is an arithmetic number, because the mean of its divisors is an integer number (25084475).

Almost surely, 2^400304313 is an apocalyptic number.

It is an amenable number.

400304313 is a deficient number, since it is larger than the sum of its proper divisors (201723087).

400304313 is a wasteful number, since it uses less digits than its factorization.

400304313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9961 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 400304313 is about 20007.6063785751. The cubic root of 400304313 is about 736.9931021437.

Adding to 400304313 its reverse (313403004), we get a palindrome (713707317).

The spelling of 400304313 in words is "four hundred million, three hundred four thousand, three hundred thirteen".