312822400 has 96 divisors (see below), whose sum is σ = 843115680. Its totient is φ = 113740800.

The previous prime is 312822353. The next prime is 312822401. The reversal of 312822400 is 4228213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312822401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30757 + ... + 39643.

It is an arithmetic number, because the mean of its divisors is an integer number (8782455).

Almost surely, 2^312822400 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 312822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421557840).

312822400 is an abundant number, since it is smaller than the sum of its proper divisors (530293280).

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

312822400 is a wasteful number, since it uses less digits than its factorization.

312822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8922 (or 8905 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 312822400 is about 17686.7860279928. The cubic root of 312822400 is about 678.8376914717.

The spelling of 312822400 in words is "three hundred twelve million, eight hundred twenty-two thousand, four hundred".