400301312 has 72 divisors (see below), whose sum is σ = 860932800. Its totient is φ = 185065472.

The previous prime is 400301311. The next prime is 400301323. The reversal of 400301312 is 213103004.

It is a super-2 number, since 2×400301312² = 320482280777842688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400301311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255989 + ... + 257547.

It is an arithmetic number, because the mean of its divisors is an integer number (11957400).

Almost surely, 2^400301312 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 400301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430466400).

400301312 is an abundant number, since it is smaller than the sum of its proper divisors (460631488).

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

400301312 is a wasteful number, since it uses less digits than its factorization.

400301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 400301312 is about 20007.5313819571. The cubic root of 400301312 is about 736.9912604433.

Adding to 400301312 its reverse (213103004), we get a palindrome (613404316).

The spelling of 400301312 in words is "four hundred million, three hundred one thousand, three hundred twelve".