312422400 has 312 divisors, whose sum is σ = 1157879760. Its totient is φ = 82575360.

The previous prime is 312422393. The next prime is 312422401. The reversal of 312422400 is 4224213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (312422401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764744 + ... + 2764856.

Almost surely, 2^312422400 is an apocalyptic number.

312422400 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 312422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578939880).

312422400 is an abundant number, since it is smaller than the sum of its proper divisors (845457360).

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

312422400 is a wasteful number, since it uses less digits than its factorization.

312422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 312422400 is about 17675.4745339411. The cubic root of 312422400 is about 678.5482291501.

Adding to 312422400 its reverse (4224213), we get a palindrome (316646613).

The spelling of 312422400 in words is "three hundred twelve million, four hundred twenty-two thousand, four hundred".