312424300 has 72 divisors (see below), whose sum is σ = 737390304. Its totient is φ = 114416640.

The previous prime is 312424297. The next prime is 312424327. The reversal of 312424300 is 3424213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60417 + ... + 65383.

It is an arithmetic number, because the mean of its divisors is an integer number (10241532).

Almost surely, 2^312424300 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 312424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368695152).

312424300 is an abundant number, since it is smaller than the sum of its proper divisors (424966004).

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

312424300 is a wasteful number, since it uses less digits than its factorization.

312424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5028 counting only the distinct ones).

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

The square root of 312424300 is about 17675.5282806484. The cubic root of 312424300 is about 678.5496046800.

Adding to 312424300 its reverse (3424213), we get a palindrome (315848513).

The spelling of 312424300 in words is "three hundred twelve million, four hundred twenty-four thousand, three hundred".