312434400 has 216 divisors, whose sum is σ = 1067978520. Its totient is φ = 79242240.

The previous prime is 312434389. The next prime is 312434407. The reversal of 312434400 is 4434213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312434407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4663167 + ... + 4663233.

It is an arithmetic number, because the mean of its divisors is an integer number (4944345).

Almost surely, 2^312434400 is an apocalyptic number.

312434400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533989260).

312434400 is an abundant number, since it is smaller than the sum of its proper divisors (755544120).

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

312434400 is a wasteful number, since it uses less digits than its factorization.

312434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 312434400 is about 17675.8139840857. The cubic root of 312434400 is about 678.5569166135.

Adding to 312434400 its reverse (4434213), we get a palindrome (316868613).

The spelling of 312434400 in words is "three hundred twelve million, four hundred thirty-four thousand, four hundred".