312404320 has 96 divisors (see below), whose sum is σ = 766348128. Its totient is φ = 120250368.

The previous prime is 312404299. The next prime is 312404321. The reversal of 312404320 is 23404213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312404321) 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, 668727 + ... + 669193.

It is an arithmetic number, because the mean of its divisors is an integer number (7982793).

Almost surely, 2^312404320 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 312404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383174064).

312404320 is an abundant number, since it is smaller than the sum of its proper divisors (453943808).

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

312404320 is a wasteful number, since it uses less digits than its factorization.

312404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 312404320 is about 17674.9630834126. The cubic root of 312404320 is about 678.5351396185.

Adding to 312404320 its reverse (23404213), we get a palindrome (335808533).

The spelling of 312404320 in words is "three hundred twelve million, four hundred four thousand, three hundred twenty".